The HCF of 325,350and375
Mathematics
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Step-by-step solution
6 stepsLet's find the Highest Common Factor (HCF) of 325, 350, and 375.
Find the prime factorization of 325.
325 = 5 × 65
325 = 5 × 5 × 13
325 = 5² × 13Find the prime factorization of 350.
350 = 10 × 35
350 = (2 × 5) × (5 × 7)
350 = 2 × 5² × 7Find the prime factorization of 375.
375 = 5 × 75
375 = 5 × (3 × 25)
375 = 5 × 3 × 5 × 5
375 = 3 × 5³Identify the common prime factors.
The common prime factor among 325, 350, and 375 is 5.
Find the lowest power of the common prime factor.
The powers of 5 in the factorizations are 5², 5², and 5³. The lowest power is 5².
Calculate the HCF.
HCF = 5² = 25.
The HCF of 325, 350, and 375 is 25.
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