Chapter 4: Q27. (page 179)

Find the GCF. Also, Find whether the numbers are relatively prime or not : $28, 84$

Short Answer

Expert verified

The GCF is $28$ . It is not a relatively prime number.

Step by step solution

Step -1 - Apply the concept of GCF and relatively Prime

In this, simply use the concept of finding the GCF by doing the factors of the number and find the factor which is common and greatest from them and also know the concept of relatively prime that means those whose have a only factor $1$ not other than any other.

Step -2 – Find the common factors

Here, the numbers are $28, 84$ .

First finding the factors of numbers.

The factor of $28$ is $28 = 7 \times 2 \times 2$

The factor of $84$ is $84 = 2 \times 3 \times 2 \times 7$

Step -3 – Finding the GCF and know whether it is relatively prime or not

Now, the common factor among the numbers are $2 \times 2 \times 7$ .

So, the greatest common factor is $28$ .

Since, the two numbers have HCF other than $1$ , therefore they are not relatively prime.

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Find the GCF. Also, Find whether the numbers are relatively prime or not : $28, 84$

Short Answer

Step by step solution

Step -1 - Apply the concept of GCF and relatively Prime

Step -2 – Find the common factors

Step -3 – Finding the GCF and know whether it is relatively prime or not

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Find the GCF. Also, Find whether the numbers are relatively prime or not : 28,84

Short Answer

Step by step solution

Step -1 - Apply the concept of GCF and relatively Prime

Step -2 – Find the common factors

Step -3 – Finding the GCF and know whether it is relatively prime or not

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Mechanics Maths

Pure Maths

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the GCF. Also, Find whether the numbers are relatively prime or not : $28, 84$