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How do you find the gcf using the box method

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3 votes

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

How do you find the gcf using the box method-example-1
User Smutje
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