This webpage demonstrates formulas that merge three non-adjacent cell ranges.

1. Extract a list of duplicates from two or more columns combined - Excel 365

This example demonstrates how to list duplicates from three cell ranges combined, the first cell range is B3:B21, the second cell range is D3:D8 and the third is F3:F9.

Note, the cell ranges are not adjacent and are in different sizes. The result is an array shown in cell H3 and cells below as far as needed. This is called spilling in Excel 365.

Excel 365 dynamic array formula in cell H3:

You are not limited to three cell ranges, you can use up to 254 cell ranges.

Explaining the formula in cell H3

Step 1 - Combine cell ranges

The TOCOL function rearranges values in 2D cell ranges to a single column.

Function syntax: TOCOL(array, [ignore], [scan_by_col])

The TOCOL function lets you combine multiple cell ranges by adding parentheses and commas as delimiting characters.

TOCOL((B3:B21,D3:D8,F3:F9))

returns

{"Federer, Roger "; "Djokovic, Novak "; "Murray, Andy "; "Davydenko, Nikolay "; "Roddick, Andy "; "Del Potro, Juan Martin "; "Federer, Roger "; "Davydenko, Nikolay "; "Verdasco, Fernando "; "Gonzalez, Fernando "; "Wawrinka, Stanislas "; "Gonzalez, Fernando "; "Blake, James "; "Nalbandian, David "; "Robredo, Tommy "; "Wawrinka, Stanislas "; "Cilic, Marin "; "Stepanek, Radek "; "Almagro, Nicolas "; "Djokovic, Novak "; "May Smith"; "Davydenko, Nikolay "; "Julia Ford"; "Del Potro, Juan Martin "; "Julia Ford"; "Wawrinka, Stanislas "; "Murray, Andy "; "Davydenko, Nikolay "; "Ruth, Arvid"; "Julia Ford"; "Ruth, Arvid"; "Penelope Swanson"}.

Step 2 - Match values to the same values

The MATCH function returns the relative position of an item in an array that matches a specified value in a specific order.

Function syntax: MATCH(lookup_value, lookup_array, [match_type])

MATCH(TOCOL((B3:B21,D3:D8,F3:F9)),TOCOL((B3:B21,D3:D8,F3:F9)),0)

becomes

MATCH({"Federer, Roger "; "Djokovic, Novak "; ... ; "Penelope Swanson"}, {"Federer, Roger "; "Djokovic, Novak "; ... ; "Penelope Swanson"}, 0)

and returns

{1; 2; 3; 4; 5; 6; 1; 4; 9; 10; 11; 10; 13; 14; 15; 11; 17; 18; 19; 2; 21; 4; 23; 6; 23; 11; 3; 4; 29; 23; 29; 32}.

Step 3 - Count rows in the array

The ROWS function calculate the number of rows in a cell range.

Function syntax: ROWS(array)

ROWS(TOCOL((B3:B21,D3:D8,F3:F9)))

becomes

ROWS({"Federer, Roger "; "Djokovic, Novak "; ... ; "Penelope Swanson"})

and returns

32. There are 32 rows (values) in the array.

Step 4 - Create a sequence from 1 to n

The SEQUENCE function creates a list of sequential numbers.

Function syntax: SEQUENCE(rows, [columns], [start], [step])

SEQUENCE(ROWS(TOCOL((B3:B21,D3:D8,F3:F9))))

becomes

SEQUENCE(32)

and returns

{1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16; 17; 18; 19; 20; 21; 22; 23; 24; 25; 26; 27; 28; 29; 30; 31; 32}.

Step 5 - Check if the numbers are not equal to the sequence

The less than and larger than sign combined lets you perform "not equal to" in an Excel formula. The result is a boolean value TRUE or FALSE, however, in this case, the result is an array containing boolean values.

MATCH(TOCOL((B3:B21,D3:D8,F3:F9)),TOCOL((B3:B21,D3:D8,F3:F9)),0)<>SEQUENCE(ROWS(TOCOL((B3:B21,D3:D8,F3:F9))))

becomes

{1; 2; 3; 4; 5; 6; 1; 4; 9; 10; 11; 10; 13; 14; 15; 11; 17; 18; 19; 2; 21; 4; 23; 6; 23; 11; 3; 4; 29; 23; 29; 32}<>{1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16; 17; 18; 19; 20; 21; 22; 23; 24; 25; 26; 27; 28; 29; 30; 31; 32}

and returns

{FALSE; FALSE; FALSE; FALSE; FALSE; FALSE; TRUE; TRUE; FALSE; FALSE; FALSE; TRUE; FALSE; FALSE; FALSE; TRUE; FALSE; FALSE; FALSE; TRUE; FALSE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE}.

This array lets you identify duplicate values, their positions correspond to the position in cell ranges B3:B21, D3:D8, and F3:F9.

Step 6 - Filter values based on the boolean array

The FILTER function extracts values/rows based on a condition or criteria.

Function syntax: FILTER(array, include, [if_empty])

FILTER(TOCOL((B3:B21,D3:D8,F3:F9)),MATCH(TOCOL((B3:B21,D3:D8,F3:F9)),TOCOL((B3:B21,D3:D8,F3:F9)),0)<>SEQUENCE(ROWS(TOCOL((B3:B21,D3:D8,F3:F9)))))

becomes

FILTER({"Federer, Roger "; "Djokovic, Novak "; ... ; "Penelope Swanson"},{FALSE; FALSE; FALSE; ... ; FALSE})

and returns

{"Federer, Roger "; "Davydenko, Nikolay "; "Gonzalez, Fernando "; "Wawrinka, Stanislas "; "Djokovic, Novak "; "Davydenko, Nikolay "; "Del Potro, Juan Martin "; "Julia Ford"; "Wawrinka, Stanislas "; "Murray, Andy "; "Davydenko, Nikolay "; "Julia Ford"; "Ruth, Arvid"}.

Step 7 - Extract unique distinct values

The UNIQUE function returns a unique or unique distinct list.

Function syntax: UNIQUE(array,[by_col],[exactly_once])

UNIQUE(FILTER(TOCOL((B3:B21,D3:D8,F3:F9)),MATCH(TOCOL((B3:B21,D3:D8,F3:F9)),TOCOL((B3:B21,D3:D8,F3:F9)),0)<>SEQUENCE(ROWS(TOCOL((B3:B21,D3:D8,F3:F9))))))

becomes

UNIQUE({"Federer, Roger "; "Davydenko, Nikolay "; "Gonzalez, Fernando "; "... ; "Ruth, Arvid"})

and returns

{"Federer, Roger "; "Davydenko, Nikolay "; "Gonzalez, Fernando "; "Wawrinka, Stanislas "; "Djokovic, Novak "; "Del Potro, Juan Martin "; "Julia Ford"; "Murray, Andy "; "Ruth, Arvid"}

Step 8 - Shorten the formula

The LET function lets you name intermediate calculation results which can shorten formulas considerably and improve performance.

Function syntax: LET(name1, name_value1, calculation_or_name2, [name_value2, calculation_or_name3...])

UNIQUE(FILTER(TOCOL((B3:B21,D3:D8,F3:F9)),MATCH(TOCOL((B3:B21,D3:D8,F3:F9)),TOCOL((B3:B21,D3:D8,F3:F9)),0)<>SEQUENCE(ROWS(TOCOL((B3:B21,D3:D8,F3:F9))))))

x - TOCOL((B3:B21,D3:D8,F3:F9))

LET(x,TOCOL((B3:B21,D3:D8,F3:F9)),UNIQUE(FILTER(x,MATCH(x,x,0)<>SEQUENCE(ROWS(x)))))

2. Extract a list of duplicates from three columns combined

The following regular formula extracts duplicate values from column B (List1), D (List2) and F (List3) combined, the result is displayed in cell H3 and cells below.

Formula in cell H3:

Explaining formula in cell F3

This formula consists of three similar parts, one returns values from List1 and the second returns values from List2 and the third returns duplicates from List3.

IFERROR(IFERROR(formula1, formula2), formula3)

Step 1 - Prevent duplicate values in output

The COUNTIF function counts values based on a condition, in this case, I am counting values in cells above. This makes sure that duplicates are not returned.

COUNTIF($H$2:H2,$B$3:$B$21)=0

becomes

COUNTIF("Duplicates",$B$3:$B$21)=0

becomes

COUNTIF("Duplicates",{"Federer, Roger ";"Djokovic, Novak ";"Murray, Andy ";"Davydenko, Nikolay ";"Roddick, Andy ";"Del Potro, Juan Martin ";"Federer, Roger ";"Davydenko, Nikolay ";"Verdasco, Fernando ";"Gonzalez, Fernando ";"Wawrinka, Stanislas ";"Gonzalez, Fernando ";"Blake, James ";"Nalbandian, David ";"Robredo, Tommy ";"Wawrinka, Stanislas ";"Cilic, Marin ";"Stepanek, Radek ";"Almagro, Nicolas "})=0

{0;0;0;0;0;0;0;0;0;0;0;0;0;0;0;0;0;0;0}=0

and returns

{TRUE;TRUE;TRUE; TRUE;TRUE;TRUE;TRUE; TRUE;TRUE;TRUE;TRUE; TRUE;TRUE;TRUE;TRUE; TRUE;TRUE;TRUE;TRUE}

Step 2 - Count values in List1

We want to know where the duplicates are in List1.

COUNTIF($B$3:$B$21,$B$3:$B$21)>1

becomes

COUNTIF({"Federer, Roger ";"Djokovic, Novak ";"Murray, Andy ";"Davydenko, Nikolay ";"Roddick, Andy ";"Del Potro, Juan Martin ";"Federer, Roger ";"Davydenko, Nikolay ";"Verdasco, Fernando ";"Gonzalez, Fernando ";"Wawrinka, Stanislas ";"Gonzalez, Fernando ";"Blake, James ";"Nalbandian, David ";"Robredo, Tommy ";"Wawrinka, Stanislas ";"Cilic, Marin ";"Stepanek, Radek ";"Almagro, Nicolas "},{"Federer, Roger ";"Djokovic, Novak ";"Murray, Andy ";"Davydenko, Nikolay ";"Roddick, Andy ";"Del Potro, Juan Martin ";"Federer, Roger ";"Davydenko, Nikolay ";"Verdasco, Fernando ";"Gonzalez, Fernando ";"Wawrinka, Stanislas ";"Gonzalez, Fernando ";"Blake, James ";"Nalbandian, David ";"Robredo, Tommy ";"Wawrinka, Stanislas ";"Cilic, Marin ";"Stepanek, Radek ";"Almagro, Nicolas "})>1

becomes

{2;1;1;2;1;1;2;2;1;2;2;2;1;1;1;2;1;1;1}>1

{TRUE;FALSE; FALSE;TRUE; FALSE;FALSE; TRUE;TRUE; FALSE;TRUE; TRUE;TRUE; FALSE;FALSE; FALSE;TRUE; FALSE;FALSE; FALSE}

Step 3 - Multiply arrays

(COUNTIF($H$2:H2,$B$3:$B$21)=0)*(COUNTIF($B$3:$B$21,$B$3:$B$21)>1)

becomes

{TRUE;TRUE;TRUE; TRUE;TRUE;TRUE;TRUE; TRUE;TRUE;TRUE;TRUE; TRUE;TRUE;TRUE;TRUE; TRUE;TRUE;TRUE;TRUE} * {TRUE;FALSE; FALSE;TRUE; FALSE;FALSE; TRUE;TRUE; FALSE;TRUE; TRUE;TRUE; FALSE;FALSE; FALSE;TRUE; FALSE;FALSE; FALSE}

and returns

{1;0;0;1;0;0;1;1;0;1;1;1;0;0;0;1;0;0;0}

Step 4 - Divide 1 with array

The LOOKUP function ignores error and if we divide 1 with 0 an error occurs. 1/0 = #DIV/0!

1/((COUNTIF($H$2:H2,$B$3:$B$21)=0)*(COUNTIF($B$3:$B$21,$B$3:$B$21)>1))

becomes

1/{1;0;0;1;0;0;1;1;0;1;1;1;0;0;0;1;0;0;0}

and returns

{1;#DIV/0!;#DIV/0!;1;#DIV/0!;#DIV/0!;1;1;#DIV/0!;1;1;1;#DIV/0!;#DIV/0!;#DIV/0!;1;#DIV/0!;#DIV/0!;#DIV/0!}

Step 5 - Return value based on array

LOOKUP(2,1/((COUNTIF($H$2:H2,$B$3:$B$21)=0)*(COUNTIF($B$3:$B$21,$B$3:$B$21)>1)),$B$3:$B$21)

becomes

LOOKUP(2, 1/{1;0;0;1;0;0;1;1;0;1;1;1;0;0;0;1;0;0;0}, $B$3:$B$21)

becomes

LOOKUP(2, 1/{1;0;0;1;0;0;1;1;0;1;1;1;0;0;0;1;0;0;0}, {"Federer, Roger ";"Djokovic, Novak ";"Murray, Andy ";"Davydenko, Nikolay ";"Roddick, Andy ";"Del Potro, Juan Martin ";"Federer, Roger ";"Davydenko, Nikolay ";"Verdasco, Fernando ";"Gonzalez, Fernando ";"Wawrinka, Stanislas ";"Gonzalez, Fernando ";"Blake, James ";"Nalbandian, David ";"Robredo, Tommy ";"Wawrinka, Stanislas ";"Cilic, Marin ";"Stepanek, Radek ";"Almagro, Nicolas "})

and returns Wawrinka, Stanislas in cell H3.

Step 4 - Return values from List2

When values run out from List1 formula1 returns errors, the IFERROR function then moves to formula2.

IFERROR(formula1, formula2)

formula2 is just like formula1 except that it returns values from List2 and duplicates found between List1 and List2.

Another IFERROR function is used to handle errors from List2, the formula then returns values from List.

IFERROR(IFERROR(formula1, formula2), formula3)

Get Excel *.xlsx file

how-to-extract-a-list-of-duplicates-from-three-columns-in-excelv2.xlsx

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