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Greatest Common Factor Games

Play Greatest Common Factor Games Online. Learn how to find GCD. Learn what is greatest common divisor. Highest common factor game. Play lcm and gcf games online. Download free greatest common divisor worksheet PDF.

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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 worksheets

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 and Math Worksheets For Fifth Grade here.

GCD worksheet PDF

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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:

1. 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)
2. Identify the common prime factors and their lowest exponents:
   • Common factor: 2² x 3 (= 2 x 2 x 3)
3. Multiply the common prime factors to find the GCF:
   GCF (24,36,48) = 2 x 2 x 3 = 12
4. For better understanding watch this tutorial on YouTube

Greatest common divisor online games

In order for children to be able to find the GCF, they should be familiar with finding factors. Because there's a direct and fundamental relationship between factors and the greatest common factor (GCF). Here's how they relate:

• Factors: Factors of a number are the numbers that divide into it evenly, with no remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 18 are 1, 2, 3, 6, 9, and 18.
• Common Factors: When you have two or more numbers, the common factors are the factors that they share. In the example of 12 and 18, the common factors are 1, 2, 3, and 6.
• Greatest Common Factor (GCF): The greatest common factor is, as its name suggests, the *largest* of these common factors. For 12 and 18, the common factors are 1, 2, 3, and 6, and the greatest among them is 6. So, the GCF of 12 and 18 is 6.

In essence, to find the GCF of two or more numbers, you first need to identify their individual factors, then pinpoint the common factors, and finally select the largest one from that common set.

Highest common factor game

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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Division Games 5th Grade Math Games