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Returning the Smallest Non-Zero Value

Please Note: This article is written for users of the following Microsoft Excel versions: 97, 2000, 2002, and 2003. If you are using a later version (Excel 2007 or later), this tip may not work for you. For a version of this tip written specifically for later versions of Excel, click here: Returning the Smallest Non-Zero Value.

Mark is hoping to find the smallest non-zero value in a set of values. For example, if he has the values 0,0,3,0,6,8, he would want the value 3 (the smallest non-zero value) returned by a formula. Mark knows he can use the SMALL function with the second argument calculated by using a COUNTIF to count the number of zeroes in the range. However, he wants to use this inside of an array formula, and Excel can't handle COUNTIFs inside of array formulas.

Since Mark is only interested in array formulas (entered by pressing Ctrl+Shift+Enter), then there are a couple that could be used. The following array formula is worth looking at first:

=MIN(IF(A1:A5=0,MAX(A1:A5),A1:A5))

Assuming the values to be examined are in A1:A5, this formula puts together an array of non-zero values from that range. If the value in one of the cells is 0, then the MAX function kicks in, returning the largest value from the range. (This essentially kicks the value at that cell—originally 0—out of consideration as the smallest value.) If the value in one of the cells is not 0, then the actual value is returned. The MIN function then returns the lowest value from the array.

You can make the formula even shorter by turning it around in this manner:

=MIN(IF(A1:A5<>0,A1:A5))

Note that in this version, the value in each cell of the range is checked to see if it isn't 0. If it isn't, then the value is returned. If it is 0, then nothing is returned. Again, the MIN function is used to return the lowest value from the array.

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (3260) applies to Microsoft Excel 97, 2000, 2002, and 2003. You can find a version of this tip for the ribbon interface of Excel (Excel 2007 and later) here: Returning the Smallest Non-Zero Value.

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Comments for this tip:

RASAKUMAR    07 Apr 2015, 07:02
I TRIED THE ABOVE FORMULA. THE RESULT I GOT IN THE CELL WAS "#VALUE!".
Michael (Micky) Avidan    20 Mar 2015, 06:21
@gina,
"...if it is greater than zero, then I only want zero".
To me it sounds like a paradox ?Michael
Please try again and it could be nice if you'll present "your" 5 values for which you need the Minimum.
(Micky) Avidan
“Microsoft® Answers" - Wiki author & Forums Moderator
“Microsoft®” MVP – Excel (2009-2015)
ISRAEL
gina    19 Mar 2015, 12:45
Thank you, There are both positive and negative values in the range. if I enter =min(A1:A5)then I get the smallest number. I am looking for the max number, but if it is greater than zero, then I only want zero.
gina    19 Mar 2015, 12:39
I am looking for the max number of 4 numbers, but if greater than zero, I want to return zero.
Michael (Micky) Avidan    04 Mar 2015, 15:45
@Frank,
Try: =SMALL((A1,C1,AT1,BB1,CI1),1+FREQUENCY((A1,C1,AT1,BB1,CI1),0))
-------------------------------------------------------
Michael (Micky) Avidan
“Microsoft® Answers" - Wiki author & Forums Moderator
“Microsoft®” MVP – Excel (2009-2015)
ISRAEL
Frank Tralli    03 Mar 2015, 17:27
Hello- Im simply trying to get the lowest non-zero $ value amongst a group of cells but not a range like above. When I substitute the group of cells for the range, formula doesn't work. Can you pls advise?

Group example - A1,C1,AT1,BB1,CI14 etc.

Thank you,
Frank
Michael (Micky) Avidan    03 Sep 2014, 09:26
Two, short, comments:
1) If the range will have a negative value then the following formula will do:
=MIN(A1:A5)
2) If only Positive values in the range - then there is no need to run an IF check:
=MIN((A1:A5<>0)*A1:A5)
Michael (Micky) Avidan
“Microsoft® Answers" - Wiki author & Forums Moderator
“Microsoft®” MVP – Excel (2009-2015)
ISRAEL

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