Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Question

Chapter 4, Problem 8CT

To determine

To find the greatest common factor of 42 & 108

Expert Solution & Answer

Answer to Problem 8CT

Greatest Common Factor is 6. Hence not relatively prime.

Explanation of Solution

Given information:

Numbers 42 & 108

Formula Used: Factorization

Calculation:

Here, break both the numbers into its factors respectively.

So, 42 may be written as 42=7×2×3

And 108 may be written as 108=3×3×2×2×3

As can be seen that 2×3 is common in both the numbers. Hence , the greatest common factor is 6.

When the greatest common factor of two numbers is 1- they are said to be relatively prime.

Since their GCF is not 1, 32 & 90 are not relatively prime numbers.

Conclusion-

Greatest Common Factor is 6. Hence not relatively prime.

Chapter 4, Problem 7CT

Chapter 4, Problem 9CT

Chapter 4 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 4.1 - Prob. 1C Ch. 4.1 - Prob. 2C Ch. 4.1 - Prob. 3C Ch. 4.1 - Prob. 4C Ch. 4.1 - Prob. 5C Ch. 4.1 - Prob. 6C Ch. 4.1 - Prob. 7C Ch. 4.1 - Prob. 8C Ch. 4.1 - Prob. 9C Ch. 4.1 - Prob. 10C

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To find the greatest common factor of 42 &amp; 108

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To find the greatest common factor of 42 & 108

Answer to Problem 8CT

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To find the greatest common factor of 42 & 108