Question

Find the HCF of 84 and 216, if their LCM is 1,512.​

Answer 1

Answer:

Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

Find the prime factorization of 216

216 = 2 × 2 × 2 × 3 × 3 × 3

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

LCM = 2 × 2 × 2 × 3 × 3 × 3 × 7

LCM = 1512

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Find least common multiple (lcm) of: 168 & 432 42 & 108 252 & 648 28 & 72 420 & 1080 588 & 1512 168 & 216 84 & 432 252 & 216 84 & 648 420 & 216 84 & 1080 588 & 216 84 & 1512

Answer 2

Answer:

we know

HCF × LCM = PRODUCT OF NUMBER

HCF × 1512 = 84 × 216

HCF × 1512 = 18144

HCF = 18144/1512

HCF = 12

Step-by-step explanation:

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