How do you find the GCF using continuous division?

Answer 1

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

Answer 2

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

Answer 3

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).

Answer 4

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.

Answer 5

The GCF is 7.
The LCM is 70.