The greatest common factor (GCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the GCF of 250 and 750, we first list the factors of each number. The factors of 250 are 1, 2, 5, 10, 25, 50, 125, and 250. The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, and 750. The GCF of 250 and 750 is 250, as it is the largest number that appears in both lists.
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The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.
The greatest common factor of 250 and 750 is 250
Oh, isn't that a lovely question! To find a number that goes into both 750 and 1000, we look for the greatest common factor. In this case, the number that goes into both 750 and 1000 is 250. It's like finding a happy little common denominator that brings everything together beautifully.
The multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, ... The multiples of 250: 250, 500, 750, 1000, ... The least common multiple is the number in both lists that is the least. For 75 and 250, the least common multiple is 750.
750 + 250 = 1000
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250