GCF (HCF) of 675 and 945

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What is the Greatest Common Divisor of 675 and 945?

Answer

GCF (HCF) of 675 and 945 is
135

Common factors: 1, 3, 5, 9, 15, 27, 45, 135

135 divides both: 675 ÷ 135 = 5, 945 ÷ 135 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

675 = 33 × 52

945 = 33 × 5 × 7

Prime675945Lowest power
3333333
55255
7—7—

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

GCF = 33 × 5 = 135

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GCF Table

Number 1Number 2GCF
67593015
6759311
6759321
6759333
6759341
6759355
6759369
6759371
6759381
6759393
6759405
6759411
6759423
6759431
6759441
675945135
6759461
6759471
6759483
6759491
67595025
6759513
6759521
6759531
6759549
6759555
6759561
6759573
6759581
6759591

FAQ

What is the Greatest Common Divisor of 675 and 945?

GCF (HCF) of 675 and 945 is 135

How to find the GCF of 675 and 945?

You can find the GCF of 675 and 945 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 675 and 945 is 135.

What prime factors do 675 and 945 share?

The prime factorizations of 675 and 945 have 3 × 3 × 3 × 5 in common, and multiplying those shared primes gives 135 — exactly the greatest common factor.

How does the GCF reduce the fraction 675/945?

Divide the numerator and the denominator by the GCF 135: 675 ÷ 135 = 5 and 945 ÷ 135 = 7. So 675/945 in lowest terms is 5/7.

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