Question

hcf and lcm of 72 and 10

Answer 1

Answer:

hcf is2 lcm is 360

Step-by-step explanation:

Find the prime factorization of 10

10 = 2 × 5

Find the prime factorization of 72

72 = 2 × 2 × 2 × 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 × 5

LCM = 360

Find the prime factorization of 10

10 = 2 × 5

Find the prime factorization of 72

72 = 2 × 2 × 2 × 3 × 3

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

Therefore, HCF = 2

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