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    GCF of 1125 and 1500 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 1,125 and 1,500?

    Answer

    GCF of 1,125 and 1,500 is
    375

    (Three hundred seventy-five)

    Finding GCF for 1,125 and 1,500 using all factors (divisors) listing

    The first method to find GCF for numbers 1,125 and 1,500 is to list all factors for both numbers and pick the highest common one:

    All factors of 1,125: 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125

    All factors of 1,500: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500

    So the Greatest Common Factor for 1,125 and 1,500 is 375

    Finding GCF for 1,125 and 1,500 by Prime Factorization

    The second method to find GCF for numbers 1,125 and 1,500 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 1,125: 3, 3, 5, 5, 5

    All Prime Factors of 1,500: 2, 2, 3, 5, 5, 5

    As we can see there are Prime Factors common to both numbers: 3, 5, 5, 5

    Now we need to multiply them to find GCF: 3 × 5 × 5 × 5 = 375

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    What is the GCF of 1125 and 1500. The GCF of 1,125 and 1,500 is 375 — 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
    1,1251,48545
    1,1251,4861
    1,1251,4871
    1,1251,4883
    1,1251,4891
    1,1251,4905
    1,1251,4913
    1,1251,4921
    1,1251,4931
    1,1251,4949
    1,1251,4955
    1,1251,4961
    1,1251,4973
    1,1251,4981
    1,1251,4991
    1,1251,500375
    1,1251,5011
    1,1251,5021
    1,1251,5039
    1,1251,5041
    1,1251,5055
    1,1251,5063
    1,1251,5071
    1,1251,5081
    1,1251,5093
    1,1251,5105
    1,1251,5111
    1,1251,5129
    1,1251,5131
    1,1251,5141

    About "Greatest Common Factor" Calculator

    This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 1,125 and 1,500? (The answer is: 375). Select the first number (e.g. '1125') and the second number (e.g. '1500'). After that hit the 'Calculate' button.
    Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    FAQ

    What is the Greatest Common Divisor of 1,125 and 1,500?

    GCF of 1,125 and 1,500 is 375

    How to find the GCF of 1,125 and 1,500?

    You can find the GCF of 1,125 and 1,500 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 1,125 and 1,500 is 375.

    What prime factors do 1,125 and 1,500 share?

    The prime factorizations of 1,125 and 1,500 have 3 × 5 × 5 × 5 in common, and multiplying those shared primes gives 375 — exactly the greatest common factor.

    How does the GCF reduce the fraction 1125/1500?

    Divide the numerator and the denominator by the GCF 375: 1,125 ÷ 375 = 3 and 1,500 ÷ 375 = 4. So 1125/1500 in lowest terms is 3/4.

    See Also