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    GCF for 4, 5 and 8

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

    What's the Greatest Common Factor (GCF) of 4, 5 and 8?

    Answer

    GCF of 4, 5 and 8 is
    1

    (One)

    1 is the largest positive integer that divides 4, 5 and 8 without a remainder — every other common divisor of the three divides it too.

    Finding the GCF of 4, 5 and 8 by Prime Factorization

    Split all three numbers into prime factors, then keep every prime that appears in all three of them, each taken as many times as it appears in the poorest factorization. Multiplying what is left gives the greatest common factor:

    All Prime Factors of 4: 2 × 2 (exponent form: 22)

    All Prime Factors of 5: 5 (exponent form: 5)

    All Prime Factors of 8: 2 × 2 × 2 (exponent form: 23)

    Prime factor458Lowest power
    222—23—
    5—5——

    Not one prime factor is shared by all three numbers, which makes 4, 5 and 8 relatively prime as a set. The only positive integer dividing all of them is 1.

    Checking the GCF of 4, 5 and 8 Two Numbers at a Time

    The greatest common factor is associative, so three numbers can be handled as two pairs — and this is what makes the Euclidean algorithm usable here: run it on the first pair, then run it again on that result and the third number.

    GCF(a, b, c) = GCF(GCF(a, b), c)

    GCF(4, 5) = 1

    GCF(1, 8) = 1

    GCF(4, 5, 8) = 1

    The answer checks out by division — all three quotients come out whole:

    4 ÷ 1 = 4

    5 ÷ 1 = 5

    8 ÷ 1 = 8

    4, 5 and 8 have no common factor left — that is what makes 1 the greatest one.

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    What is the GCF of 4, 5 and 8?. The GCF of 4, 5 and 8 is 1 — the largest number that divides all three with no remainder. Step-by-step solution for three numbers.
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    GCF Table

    Number 1Number 2Number 3GCF
    1451
    2451
    3451
    4451
    4551
    4561
    4571
    4581
    4591
    45101
    45111
    45121
    45131
    45141
    45151
    45161
    45171
    45181
    45191
    45201
    45211
    45221
    45231
    45241
    45251
    45261
    45271
    45281
    45291
    45301

    About "Greatest Common Factor of 3 Numbers" Calculator

    This calculator finds the Greatest Common Factor (GCF) of three numbers at once, without doing it in two passes. For example, it can help you find out what's the Greatest Common Factor (GCF) of 4, 5 and 8? (The answer is: 1). Enter the first number (e.g. '4'), the second (e.g. '5') and the third (e.g. '8'), then hit the 'Calculate' button.
    The Greatest Common Factor of three numbers — also called the greatest common divisor (GCD) or highest common factor (HCF) — is the largest positive integer that divides all three of them with zero remainder
    "Greatest Common Factor of 3 Numbers" Calculator
    Greatest Common Factor of
    ,
    and

    FAQ

    What's the Greatest Common Factor (GCF) of 4, 5 and 8?

    GCF of 4, 5 and 8 is 1

    What prime factors do 4, 5 and 8 share?

    None at all: 4, 5 and 8 have no prime factor in common, so the only positive integer dividing all three is 1 and their GCF is 1.

    Can you get the GCF of 4, 5 and 8 two numbers at a time?

    Yes, and it is the check this page prints. The GCF of 4 and 5 is 1, and the GCF of 1 and 8 is 1 — 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 4 : 5 : 8?

    Divide every term by the GCF 1: 4 ÷ 1 = 4, 5 ÷ 1 = 5 and 8 ÷ 1 = 8. So 4 : 5 : 8 in lowest terms is 4 : 5 : 8, and no whole number other than 1 divides all three of those.

    See Also