Chapter 4: Q. 5 (page 177)

Find the GCF. Also, Find whether the numbers are relatively prime or not : $18, 33$

Short Answer

Expert verified

The GCF is $3$ . 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 $18, 33$ .

First finding the factors of numbers.

The factor of $18$ is $18 = 2 \times 3 \times 3$

The factor of $33$ is $33 = 3 \times 11$

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

Now, the common factor among the numbers are $3$ .

So, the greatest common factor is $3$ .

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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find the GCF. Also, Find whether the numbers are relatively prime or not : $18, 33$

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

Theoretical and Mathematical Physics

Pure Maths

Mechanics Maths

Discrete Mathematics

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the GCF. Also, Find whether the numbers are relatively prime or not : 18,33

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

Theoretical and Mathematical Physics

Pure Maths

Mechanics Maths

Discrete Mathematics

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the GCF. Also, Find whether the numbers are relatively prime or not : $18, 33$