Question

Two numbers are co-prime if they have no common factors (other than

1). By drawing Venn diagrams or otherwise, decide whether each pair of
numbers is co- prime.
a) 105 and 429 b) 63 and 715 C) 121 and 175 d) 455 and 693

Answer 1

See below.

Explanation:

a)

105/3 = 35

35/5 = 7

7/7 = 1

429/3 = 143

143/11 = 13

13/13 = 1

105 = 3 * 5 * 7

429 = 3 * 11 * 13

Not co-prime

For the other parts of the problem, do the same I did above. Find the prime factorizations of both numbers, and see if they have any prime factors in common.