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    GCF (HCF) of 270 and 450

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 270 and 450?

    Answer

    GCF (HCF) of 270 and 450 is
    90

    Common factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

    90 divides both: 270 ÷ 90 = 3, 450 ÷ 90 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

    270 = 2 × 33 × 5

    450 = 2 × 32 × 52

    Prime270450Lowest power
    2222
    3333232
    55525

    GCF = 2 × 32 × 5 = 90

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    What is the GCF (HCF) of 270 and 450. The GCF of 270 and 450 is 90 — 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
    27043515
    2704362
    2704371
    2704386
    2704391
    27044010
    2704419
    2704422
    2704431
    2704446
    2704455
    2704462
    2704473
    2704482
    2704491
    27045090
    2704511
    2704522
    2704533
    2704542
    2704555
    2704566
    2704571
    2704582
    27045927
    27046010
    2704611
    2704626
    2704631
    2704642

    FAQ

    What is the Greatest Common Divisor of 270 and 450?

    GCF (HCF) of 270 and 450 is 90

    How to find the GCF of 270 and 450?

    You can find the GCF of 270 and 450 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 270 and 450 is 90.

    What prime factors do 270 and 450 share?

    The prime factorizations of 270 and 450 have 2 × 3 × 3 × 5 in common, and multiplying those shared primes gives 90 — exactly the greatest common factor.

    How does the GCF reduce the fraction 270/450?

    Divide the numerator and the denominator by the GCF 90: 270 ÷ 90 = 3 and 450 ÷ 90 = 5. So 270/450 in lowest terms is 3/5.

    See Also