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Q: How can greatest common factors and least common multiples help you work with fractions?

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There are no greatest common multiples only greatest common factors

When doing fractions it is the greatest common factor (GCF) and the least common multiple (LCM). You want the GCF when you are reducing fractions to their simplest form. When changing the denominators to a common one, you want the LCM.

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Finding the greatest common factor helps when you are reducing fractions.

When adding or subtracting fractions with different denominators

The GCF helps in simplifying fractions and the LCM helps in adding and subtracting them.

Use the LCM when you are adding and subtracting unlike fractions. Use the GCF when you are simplifying fractions.

Factors are useful when you're trying to reduce fractions. Multiples are useful when you're trying to find a least common denominator.

One common application of greatest common factors is to simplify fractions. Note that you don't necessarily need the GREATEST common factor; you can simplify by dividing both numbers by any common factor, and then continue looking for additional factors.

The greatest common multiple of any set of integers is infinite.

The Greatest Common Factor (GCF) is: 41The Least Common Multiple (LCM) is: 246

Factors create multiples, multiples break down into factors.

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