Gcf Of 20 And 24: Explanation And Solution

GCF of 20 and 24 How to Find GCF of 20, 24? from www.cuemath.com

Introduction

Calculating the greatest common factor (GCF) of two numbers can be a challenging task for some. However, it is an important concept in mathematics that is used in various areas, including fractions, simplifying expressions, and finding common denominators. In this article, we will discuss the GCF of 20 and 24 and provide a step-by-step solution.

What is GCF?

GCF stands for the greatest common factor, which is the largest number that divides two or more numbers evenly. In other words, it is the largest factor that two or more numbers have in common. For example, the factors of 20 are 1, 2, 4, 5, 10, and 20, while the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Therefore, the common factors of 20 and 24 are 1, 2, and 4. The largest of these common factors is 4, which is the GCF of 20 and 24.

How to Find the GCF of 20 and 24?

There are various methods to find the GCF of two numbers, including listing the factors, prime factorization, and division method. In this article, we will use the division method, which involves dividing the larger number by the smaller number and then dividing the divisor by the remainder. This process is repeated until the remainder is zero. Step 1: Write the two numbers side by side. 20 24 Step 2: Determine the larger number. 24 is the larger number. Step 3: Divide the larger number by the smaller number. 24 ÷ 20 = 1 with a remainder of 4 Step 4: Write the divisor and remainder as a fraction. 24 = 20 × 1 + 4 The fraction is 20/24. Step 5: Divide the divisor by the remainder. 20 ÷ 4 = 5 with no remainder. Step 6: Write the divisor and remainder as a fraction. 20 = 4 × 5 + 0 The fraction is 4/20. Step 7: The GCF is the last divisor, which is 4. Therefore, the GCF of 20 and 24 is 4.

Conclusion

In summary, the GCF of two numbers is the largest factor that they have in common. To find the GCF of 20 and 24, we used the division method, which involves dividing the larger number by the smaller number and then dividing the divisor by the remainder. This process is repeated until the remainder is zero, and the last divisor is the GCF. The GCF of 20 and 24 is 4. It is important to understand the concept of GCF as it is used in various mathematical operations.