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    GCF for 27, 45 and 63

    "Greatest Common Factor of 3 Numbers" Calculator
    Greatest Common Factor of
    ,
    and

    What's the Greatest Common Factor (GCF) of 27, 45 and 63?

    Answer

    GCF of 27, 45 and 63 is
    9

    Common factors: 1, 3, 9

    9 divides all three: 27 ÷ 9 = 3, 45 ÷ 9 = 5, 63 ÷ 9 = 7 — and 3, 5 and 7 have no factor but 1 common to all of them, so no larger number divides all three.

    27 = 33

    45 = 32 × 5

    63 = 32 × 7

    Prime274563Lowest power
    333323232
    5—5——
    7——7—

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

    GCF = 32 = 9

    See Also

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/27--45--63Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/27--45--63">What is the GCF of 27, 45 and 63? - Calculatio</a>Copy
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    What is the GCF of 27, 45 and 63? The GCF of 27, 45 and 63 is 9 — the largest number that divides all three with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/27--45--63/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    2745483
    2745491
    2745501
    2745513
    2745521
    2745531
    2745549
    2745551
    2745561
    2745573
    2745581
    2745591
    2745603
    2745611
    2745621
    2745639
    2745641
    2745651
    2745663
    2745671
    2745681
    2745693
    2745701
    2745711
    2745729
    2745731
    2745741
    2745753
    2745761
    2745771

    FAQ

    What's the Greatest Common Factor (GCF) of 27, 45 and 63?

    GCF of 27, 45 and 63 is 9

    What prime factors do 27, 45 and 63 share?

    All three factorizations contain 3 × 3, and multiplying those shared primes gives 9 — exactly the greatest common factor.

    Can you get the GCF of 27, 45 and 63 two numbers at a time?

    Yes. The GCF of 27 and 45 is 9, and the GCF of 9 and 63 is 9 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

    How does the GCF simplify the ratio 27 : 45 : 63?

    Divide every term by the GCF 9: 27 ÷ 9 = 3, 45 ÷ 9 = 5 and 63 ÷ 9 = 7. So 27 : 45 : 63 in lowest terms is 3 : 5 : 7, and no whole number other than 1 divides all three of those.