Thank you for visiting Q1 Use the prime factorization method to find 1 GCD of tex 22 cdot 33 cdot 55 tex and tex 25 cdot 33 cdot 52. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Discover how to find GCD and LCM using prime factorization method and determine the greatest common divisor of two integers. Hence, the correct option is b) 165.
We can find the GCD (22 · 33 · 55, 25 · 33 · 52) and LCM (22 · 33 · 55, 25 · 33 · 52) using the prime factorization method as follows:
1. Prime factorize each number
2. Identify common prime factors
3. For GCD, multiply the common prime factors, and for LCM, include all prime factors with highest powers
Identify the greatest common divisor of the given pair of integers (22 × 33 × 55 and 25 × 32 × 52):
By finding the GCD using the steps mentioned earlier, we can determine that the correct answer is b) 165. Hence, the correct option is b) 165.
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