Do the following numbers share common factors? If so, which is the greatest?: { 54 , 32 , 96 }

Question

Do the following numbers share common factors? If so, which is the greatest?:   {  54  ,     32  ,     96  }

ele5ph1a7jl1 · 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  ×  12 .Sometimes 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:       96    =    8    ×    12    =    2    ×    4    ×    4    ×    3    =          2      5        ×    3   )It is good to have a method available for cases when we cannot find the GCF by inspection.In order to find the GCF (and the LCM) write each number as the product of its &#039; factors.  32  =  2  ×  2  ×  2  ×  2  ×  2  54  =  2  ×  3  ×  3  ×  3  96  =  2  ×  2  ×  2  ×  2  ×  2  ×  3  G  C  F  =  2From this it is very clear that the only common factor is 2.(I find this result surprising - I would thought it would be higher.)If 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.

Defensorentx9 · Accepted Answer

Step 1Factors of 54 are             {      1      ,      2      ,      3      ,      6      ,      9      ,      18      ,      27      ,      54      }      Factors of 32 are             {      1      ,      2      ,      4      ,      8      ,      16      ,      32      }      Factors of 96 are             {      1      ,      2      ,      3      ,      4      ,      6      ,      8      ,      12      ,      16      ,      24      ,      32      ,      48      ,      96      }      Common factors are just             {      1      ,      2      }       and greatest common factor is 2.

Do the following numbers share common factors? If so, which

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