find the HCF of 60, 75
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Answered by
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The prime factorisation of 60 and 75 are :60 = 2 × 2 × 3 × 575 = 3 × 5 × 5So, HCF = 3 × 5 = 15LCM = 2×2×3×5×5 = 300Now, we will calculate HCF by Euclid's Division algorithm.75 = 60 × 1 + 1560 = 15 × 4 + 0Since the last divisor is 15, hence HCF75,60 = 15LCM75,60 = 60 × 75HCF75,60 = 60 × 7515 = 300
hiii
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the hcf will be 15.....
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Similar questions
60 = 2 × 2 × 3 × 5
Find the prime factorization of 75
75 = 3 × 5 × 5
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 5
GCF = 15