Answer:
Explanation:
The continuous division method is an effective method to determine the GCF of two or more numbers, aside from the listing method where we are listing down the common factors before determining the greatest among them.
In continuous division, we are just simply dividing the numbers by their common factors until such time that we find no more common factors except for 1 to them to be divided. After which, we will just multiply the common factors that we used to divide them. The result will be our GCF. Let us try the exercise given above:
1. Find the GCF of 24 and 72
2 / 24 72
2 / 12 36
2 / 6 18
3 / 3 9
/ 1 3
Since we keep on dividing the numbers by 2 for 3 repetitions, we arrived at 3 and 9 by which we divide by 3 and we get 1 and 3 which we can no longer divide. So the GCF is: 2x2x2x3 = 24
Therefore, the GCF of 24 and 72 is 24.
2. Find the GCF of 24, 32 and 48
2 / 24 32 48
2 / 12 16 24
2 / 6 8 12
/ 3 4 6
So the GCF is: 2x2x2 = 8
Therefore, the GCF of 24, 32 and 48 is 8.
3. Find the GCF of 18, 27 and 45.
3 / 18 27 45
3 / 6 9 15
/ 2 3 5
So the GCF is: 3x3 = 9
Therefore, the GCF of 18, 27 and 45 is 9.
4. Find the GCF of 24 and 36.
2 / 24 36
2 / 12 18
3 / 6 9
/ 2 3
So the GCF is 2x2x3 = 12
Therefore, the GCF of 24 and 36 is 12.