PPT Greatest Common Factor (GCF) PowerPoint Presentation ID889706 from www.slideserve.com
Introduction
GCF or Greatest Common Factor is an important concept in Mathematics. It is the largest number that divides two or more numbers without leaving a remainder. In this article, we will discuss the GCF for 36 and 54.
Method 1: Prime Factorization
One way to find the GCF for 36 and 54 is through prime factorization. We first list down the prime factors of both numbers. - 36 = 2 x 2 x 3 x 3 - 54 = 2 x 3 x 3 x 3 Then we circle the common factors, which are 2, 3 and 3. To find the GCF, we multiply the circled numbers, which gives us 18. Therefore, the GCF for 36 and 54 is 18.
Method 2: Division
Another way to find the GCF for 36 and 54 is through division. We divide the larger number by the smaller number and find the remainder. - 54 ÷ 36 = 1 remainder 18 We then divide the smaller number (36) by the remainder (18) and find the new remainder. - 36 ÷ 18 = 2 remainder 0 Since the remainder is 0, the GCF is the last divisor, which is 18. Therefore, the GCF for 36 and 54 is 18.
Conclusion
In conclusion, there are different methods to find the GCF for 36 and 54. We can use prime factorization or division to arrive at the same answer, which is 18. It is important to understand the concept of GCF as it is useful in simplifying fractions and solving other mathematical problems.
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