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    GCF (HCF) of 270 and 900

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 270 and 900?

    Answer

    GCF (HCF) of 270 and 900 is
    90

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

    90 divides both: 270 ÷ 90 = 3, 900 ÷ 90 = 10 — and 3 and 10 share no factor but 1, so no larger number divides both.

    270 = 2 × 33 × 5

    900 = 22 × 32 × 52

    Prime270900Lowest power
    22222
    3333232
    55525

    GCF = 2 × 32 × 5 = 90

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    What is the GCF (HCF) of 270 and 900. The GCF of 270 and 900 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
    27088515
    2708862
    2708871
    2708886
    2708891
    27089010
    27089127
    2708922
    2708931
    2708946
    2708955
    2708962
    2708973
    2708982
    2708991
    27090090
    2709011
    2709022
    2709033
    2709042
    2709055
    2709066
    2709071
    2709082
    2709099
    27091010
    2709111
    2709126
    2709131
    2709142

    FAQ

    What is the Greatest Common Divisor of 270 and 900?

    GCF (HCF) of 270 and 900 is 90

    How to find the GCF of 270 and 900?

    You can find the GCF of 270 and 900 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 270 and 900 is 90.

    What prime factors do 270 and 900 share?

    The prime factorizations of 270 and 900 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 270/900?

    Divide the numerator and the denominator by the GCF 90: 270 ÷ 90 = 3 and 900 ÷ 90 = 10. So 270/900 in lowest terms is 3/10.

    See Also