GCF (HCF) of 70 and 400

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What is the Greatest Common Divisor of 70 and 400?

Answer

GCF (HCF) of 70 and 400 is
10

Common factors: 1, 2, 5, 10

10 divides both: 70 ÷ 10 = 7, 400 ÷ 10 = 40 — and 7 and 40 share no factor but 1, so no larger number divides both.

70 = 2 × 5 × 7

400 = 24 × 52

Prime70400Lowest power
22242
55525
77——

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
7016010
7017535
701855
702055
702155
7022010
702255
7023010
702355
7025010
702555
7026010
7027010
7028070
7029010
7030010
703055
7031010
7031535
7032010
703455
7037010
7038010
7038535
7039010
7040010
7043010
7045010
7045535
7049070

FAQ

What is the Greatest Common Divisor of 70 and 400?

GCF (HCF) of 70 and 400 is 10

How to find the GCF of 70 and 400?

You can find the GCF of 70 and 400 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 70 and 400 is 10.

What prime factors do 70 and 400 share?

The prime factorizations of 70 and 400 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 70/400?

Divide the numerator and the denominator by the GCF 10: 70 ÷ 10 = 7 and 400 ÷ 10 = 40. So 70/400 in lowest terms is 7/40.

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