Question

Find the GCD and the LCM for each of the following groups of numbers using the prime factorization method. a. 140 and 600 b. 21 and 735 c. 96, 900, and 630 d. 200 and 1500

Name: find the gcd and the lcm for each of the following groups of numbers using the prime factorization method a 140 and 600 b 21 and 735 c 96 900 and 630 d 200 and 1500
Uploaded: 2023-07-22T04:53:04-08:00
Duration: 2 min
Channel: Nick Johnson
Description: find the gcd and the lcm for each of the following groups of numbers using the prime factorization method a 140 and 600 b 21 and 735 c 96 900 and 630 d 200 and 1500

          Find the GCD and the LCM for each of the following groups of numbers using the prime factorization method.
a. 140 and 600
b. 21 and 735
c. 96, 900, and 630
d. 200 and 1500

Added by Anya

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Nick Johnson

07/22/2023

Step 1

140 and 600 Prime factorization of 140 = 2^2 * 5 * 7 Prime factorization of 600 = 2^3 * 3 * 5^2 GCD = 2^2 * 5 = 20 LCM = 2^3 * 3 * 5^2 * 7 = 4200 b. 21 and 735 Prime factorization of 21 = 3 * 7 Prime factorization of 735 = 3 * 5 * 7^2 GCD = 3 * 7 = 21 LCM = 3 * 5 Show more…

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Find the GCD and the LCM for each of the following groups of numbers using the prime factorization method. a. 140 and 600 b. 21 and 735 c. 96, 900, and 630 d. 200 and 1500