    0

# How do you find the GCF using continuous division?

Updated: 8/29/2023 Wiki User

7y ago

45/3 = 15/3 = 5/5 = 1

60/2 = 30/2 = 15/3 = 5/5 = 1

3 x 3 x 5 = 45

2 x 2 x 3 x 5 = 60

Select the common factors.

3 x 5 = 15, the GCF Wiki User

8y ago   Wiki User

9y ago

Basically, you repeatedly calculate the remainder of a division, and use it for the next step, with the smaller of the two original numbers. Here is an example:

gcf(14, 10) = gcf(10, 4) (4 is the remainder of the division of 14 / 10).

gcf (10, 4) = gcf(4, 2) (2 is the remainder of the division of 10 / 2).

gcf (4, 2) = gcf(2, 0) (0 is the remainder of the division of 4 / 2).

gcf(2, 0) = 2 (if one of the numbers is 0, the gcf is the other number).   Chase Larase

Lvl 2
10mo ago

show your solution by using the continous division method to find the gcf of this following sets of numbers (number 4)   Wiki User

13y ago

To start, factor 195 and 299 into prime factors:

195 = 3*5*13

299 = 13*23

13 is the only shared factor, so it is the GCF.   Wiki User

10y ago

The GCF is 7.
The LCM is 70.   Earn +20 pts  