What is the GCF of 210 and 252?

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Odin Jacobson · Accepted Answer

Step 1One way of finding the GCF of two numbers is as follows:Divide the larger number by the smaller to give a quotient and remainder.If the remainder is zero then the smaller number is the GCF.Otherwise, repeat with the smaller number and the remainder.In our example:            252      210        =    1   with remainder 42            210      42        =    5   with remainder 0So the GCF is 42

Dayami Rose · Accepted Answer

Step 1In most cases we should be able to find the GCF fairly easily by just knowing the multiplication tables up to   12  ×  12Sometimes a bigger number might be included which we do not know well. This is just such a case.Using factor trees mentally will allow you write all the &#039; factors.(for example:       210    =    10    ×    21    =    2    ×    5    ×    3    ×    7   )  210  =  2  ×  3  ×  5  ×  7  252  =  2  ×  2  ×  3  ×  3  ×  7  G  C  F  =  2  ×  3  ×  7  =  42From this it is very clear that the common factor is 42If we needed the LCM it can be calculated easily from this format:Include each column of factors, do not count factors that are in the same column twice.

What is the GCF of 210 and 252?

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