GCF (HCF) of 7 and 30

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What is the Greatest Common Divisor of 7 and 30?

Answer

GCF (HCF) of 7 and 30 is
1

Common factors: 1

Only 1 divides both: 7 and 30 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 7 × 30 = 210.

7 — prime

30 = 2 × 3 × 5

Prime730Lowest power
2—2—
3—3—
5—5—
77——

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

GCF = 1

See Also

FAQ

What is the Greatest Common Divisor of 7 and 30?

GCF (HCF) of 7 and 30 is 1

How to find the GCF of 7 and 30?

You can find the GCF of 7 and 30 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 7 and 30 is 1.

What prime factors do 7 and 30 share?

7 and 30 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 7/30?

Divide the numerator and the denominator by the GCF 1: 7 ÷ 1 = 7 and 30 ÷ 1 = 30. So 7/30 in lowest terms is 7/30.

Are 7 and 30 coprime?

Yes, 7 and 30 are coprime (relatively prime) because their Greatest Common Factor is 1.