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    GCF (HCF) of 675 and 945

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    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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    What is the GCF (HCF) of 675 and 945. The GCF of 675 and 945 is 135 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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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.

    See Also