Question

Find the HCF and LCM of 81 and 117

Answer 1

Heyaaa

Here is your answer

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

Find the prime factorization of 81

81 = 3 × 3 × 3 × 3

Find the prime factorization of 117

117 = 3 × 3 × 13

To find the hcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3

HCF = 9

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Answer 2

Steps to find HCF:

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

Find the prime factorisation 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