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Greatest Common Factor Quiz

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Questions and Answers

What are factors?

Numbers that can be multiplied together to get another number (correct)

Numbers that can be subtracted from another number

Numbers that can be divided by another number

Numbers that can be added together to get another number

Which of the following is the definition of the greatest common factor?

The highest number that divides exactly into two or more numbers (correct)

The sum of the numbers that divide exactly into two or more numbers

The average of the numbers that divide exactly into two or more numbers

The smallest number that divides exactly into two or more numbers

What are common factors?

Factors that are prime numbers

Factors that are only found in one list of factors

Factors that are found in both lists of factors (correct)

Factors that are negative numbers

What are the common factors of 15, 30, and 105?

<p>1, 3, 5, and 15</p> Signup and view all the answers

What is the purpose of finding the greatest common factor?

<p>To simplify fractions</p> Signup and view all the answers

Study Notes

Factors and Greatest Common Factor

A factor is a whole number that divides another number exactly without leaving a remainder.
The greatest common factor (GCF) is the largest number that is a factor of all the given numbers.

Definition of Greatest Common Factor

The GCF is the largest number that divides all the given numbers exactly without leaving a remainder.

Common Factors

Common factors are the numbers that are common to all the given numbers.
They are the factors that are shared by all the numbers.

Common Factors of 15, 30, and 105

The common factors of 15, 30, and 105 are 1, 3, 5, and 15.

Purpose of Finding the Greatest Common Factor

The purpose of finding the GCF is to simplify fractions, solve problems involving equivalent ratios, and to find the simplest form of a fraction.

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Description

Test your knowledge of the Greatest Common Factor with this quiz. Learn how to find factors and simplify fractions with the highest number that divides exactly into two or more numbers.