How do you find the gcf using the box method

Explanation:

Using box method to find GCF.

We take all numbers at top pf box and start with 2 first row of box

Fill 1st row by dividing each number by 2. If number is not divisible change the number "2"

Example: Find GCF of 24 and 36

              24     36

        2     12     18  --------- 1st row

        2     6       9  ----------2nd row

        2     3       X  ---------- 3rd row ( 9 is not divisible by 2. Now we take 3 )

         3     2       3  ---------- 3rd row

**************************************************

              24     36

        2     12     18    --------- 1st row

        2     6       9     ----------2nd row

        3      2       3     ---------- 3rd row

If we get any column with prime number. we stop here.

Please see attachment for box.

Now we multiply all the number in first column.

2 x 2 x 3 = 12

So, GCF of 24 and 36 is 12

the answer to the expression is 83