Question

Find the HCF by prime factorization method of 81 and 117.

Answer 1

Answer:

Steps to find HCF:

Find the prime factorization of 81: 3×3×3×3

Find the prime factorization of 117:3×3×13

TO FIND HCF, MULTIPLY BOTH THE COMMON PRIME FACTOR: 3×3=9

Steps to find LCM:

Find the prime factorization of 81

81 = 3 × 3 × 3 × 3

Find the prime factorization of 117

117 = 3 × 3 × 13

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3 × 3 × 3 × 3 × 13

LCM = 1053