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1) Simple, but only appropriate for small numbers:Multiply the larger of the two numbers by 1, 2, 3, etc., until you find one that is divisible by the other number.
2) Appropriate for medium-sized numbers: Factor each of the numbers into prime factors. Take each prime factor that appears in at least one of the numbers. Multiply them all together. If a prime factor appears with different exponents in the two numbers, use the LOWER of the two exponents.
3) The Euclidian algorithm, appropriate for numbers of any size. I will show it here with an example: calculate the gcf of 14 and 10.
gcf(14, 10) = gcf(10, 4) - note: 4 is the remainder of the division of 14 by 10.
gcf(10, 4) = gcf(4, 2)
gcf(4, 2) = gcf(2, 0)
gcf(2, 0) = 2 - note: whenever one of the numbers is zero, the gcf is the other number.
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Find the GCF of 74 and 24?
The GCF is 2.
What is the GCF of 2 and any positive even number?
The GCF is 2.
What is the division ladder what is the GCF of 82?
The division ladder is a method used to find the greatest common factor (GCF) of two numbers by listing the factors of each number. To find the GCF of 82, you would start by factoring the number 82. The factors of 82 are 1, 2, 41, and 82. Therefore, the GCF of 82 is 1.
How do you simplify 48 and 64?
Two whole numbers cannot be simplified, but the fraction 48/64 can. To simply fractions, you have to find the GCF, or Greatest Common Factor.One way to find the GCF is to find all the factors of each number and then find the largest one. For 48 and 64, that is:48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 4864 - 1, 2, 4, 8, 16, 32, 64The GCF is 16, so divide both the numerator and denominator by 16.The answer is 3/4.
What is the gcf of 40 and 60 and 80?
The gcf is the greatest common factor. A way of finding the gcf of three numbers is to find the gcf of the first two and then finding the gcf of that number and the third number. Because of the unique prime factorization theorem, the greatest common factor will be a product of some of the prime factors in either number. The prime factorization of 40 is 2^3 * 5 and the prime factorization of 60 is 2^2 * 3 * 5, so the gcf is going to be what is in both, or, in this case, 2^2 * 5. Th prime factorization of 80 is 2^4 * 5 and so gcf of all three numbers is 2^2 * 5, or 20.
