find the HCF by prime factorization of 60,300,240
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Answer:
Express 18 and 45 as product of primes.
18=2×3×3×=2×3
2
45=3×3×5=3
2
×5
∴ HCF of 18 and 45=3×3=9
LCM of 18 and 45=3×3×2×5=90
Recall : HCF of any 2 positive integers is the product of the smallest power of each common prime factor of the numbers.
LCM of any 2 positive integers is the product of the greatest power of each factor of the numbers.
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