In one application, continuous division can be used to find prime factorizations.
52/2 = 26/2 = 13/13 = 1
36/2 = 18/2 = 9/3 = 3/3 = 1
2 x 2 x 13 = 52
2 x 2 x 3 x 3 = 36
By comparing these factorizations, we can find relationships between the numbers.
Since they have 2 x 2 in common, the GCF of 36 and 52 is 4.
By combining the highest number of each factor (2 x 2 x 3 x 3 x 13), we can find the LCM: 468
We can also use continuous division to find the LCM directly.
2...36...52
2...18...26
3...9...13
3...3...13
13...1...13
......1...1
36/45 = 4/5
continuous division method
52 + 36 = 88
16
The GCF of 36 and 52 = 4
36 multiplied by 52 is 1872.
The LCM of 52 and 36 is 468
What is the continuios division of 63?
no its more than one half-- 26 over 52 would be one half. It is not because 36/52 means 36 divided by 52, and 36 divided by 52 or 36/52 is ≈ 0.69230769 and 1/2 is 0.50 and 0.69230769 is more than 0.50.
common factor of 36 and 52 = 2
44
By practicing.