Greatest Common Factor and Least Common Multiple

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Presentation transcript:

Greatest Common Factor and Least Common Multiple

Greatest Common Factor Also known as GCF The largest number that divides evenly into two or more numbers. Used when simplifying fractions

Greatest Common Factor (GCF) The Greatest Common Factor (GCF) is a number that divides evenly into all the numbers you are given in a problem. The GCF is used for simplifying fractions. For example, the GCF of 16 and 12 is 4. 2) 12 16 2) 6 8 2) 3 4 2) 3 2 3) 3 1 1 1 When the numbers stop having factors in common, you have found the GCF. When each number has been divided down to 1, you have found the LCM.

Least Common Multiple The least common multiple of the denominators of two or more fractions. Ex: 4/8 and 5/6 Multiples of 8: 8, 16, 24, 32, 40, 48, 56 Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Least Common Multiples (LCM) A multiple of any number is the product of that number and another factor. When adding or subtracting fractions, the LCM is called the Least Common Denominator (LCD). Example: The first four multiples of five are: 5, 10, 15, 20 To find the Least Common Multiple (LCM) between two or more numbers, you must use prime factorization.