Greatest Common Factor Games Online
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Click on the correct number that represents the GCF.
Greatest Common Factor Games ONLINE
Learn how find the Greatest Common Factor (GCF) of two numbers. Play the Greatest Common Factor online games or download GCF worksheets in PDF.
Greatest common divisor practice problems
When you click on the picture below, you can generate new GCD worksheets with answers in PDF. These greatest common divisor worksheets contain enough space for calculating the GCD. You can browse all our division worksheets here.
What is GCF:
The Greatest Common Factor (GCF), also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF),
is the largest positive integer that divides two or more integers without leaving a remainder.
Greatest common divisor in examples
Here are 2 examples how to find the greatest common divisor:
1) Greatest Common Factor of 2 numbers
To find the Greatest Common Factor of 2 numbers we can use the common factors method. This method is based on the idea of listing the factors of each number and then comparing the lists to see which factors are common to both numbers.
For example, let's find the GCF of 12 and 18:
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
The largest number that is common to both lists of factors is 6, so the GCF of 12 and 18 is 6.
2) How to find the Greatest Common Factor of 3 numbers
To find the Greatest Common Factor of 3 numbers we can use the factorization method.
For example, let's find the GCD of 24, 36 and 48:
- Identify the prime factors of each number:
- Prime factors of 24: 23 x 3 (= 2 x 2 x 2 x 3)
- Prime factors of 36: 22 x 32 (= 2 x 2 x 3 x 3)
- Prime factors of 48: 24 x 3 (= 2 x 2 x 2 x 2 x 3)
- Identify the common prime factors and their lowest exponents:
- Common factor: 22 x 3 (= 2 x 2 x 3)
- Multiply the common prime factors to find the GCF:
GCF (24,36,48) = 2 x 2 x 3 = 12
Greatest common divisor exercises
This greatest common factor online game is an interactive division game. The goal of the game is to correctly identify the greatest common factor of two numbers or three numbers.
The GCF is often used in various mathematical operations, such as simplifying fractions, finding equivalent fractions, and solving certain types of equations. It's an important concept in elementary number theory and arithmetic.
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5th Grade Math Games
