# NCERT Solutions For Class 6 Maths Chapter 3 Exercise 3.4

## Ncert Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.4:

**Ncert Solutions for Class 6 Maths Chapter 3 Playing with Numbers Exercise 3.4:**In this Chapter playing with numbers We learn the basics of the Numbers System In class 6 maths ncert Exercise 3.4 Solutions. This Chapter Playing with Numbers is very important for Class 6 maths Students to get a High Score in their Exam. And we help the Class 6 Students to Achieve Their Dream By providing Class 6 Maths Ncert Solutions Chapter 3 Playing with Numbers Exercise 3.4 With Free Pdf Download. And We also Provide Video solutions link to each exercise in pdf

### Ncert Solutions for Class 6 Maths Chapter 3 Playing with Numbers Exercise 3.4 pdf:-

**Exercise 3.4**Class 6 maths NCERT solutions Chapter 3 Playing with Numbers Numbers pdf download:-

### Ncert Solution for Class 6 Maths Chapter 3 Playing Numbers Exercise 3.4 Textbook Solution:-

**Common Factors and Common Multiples**

Observe the factors of some numbers taken in pairs.

**a**What are the factors of 4 and 18?

The factors of 4 are 1, 2 and 4.

The factors of 18 are 1, 2, 3, 6, 9 and 18.

The numbers 1 and 2 are the factors of both 4 and 18.

They are the common factors of 4 and 18.

**b**What are the common factors of 4 and 15?

These two numbers have only 1 as a common factor.

What about 7 and 16?

Two numbers having only 1 as a common factor are called co-prime

numbers. Thus, 4 and 15 are co-prime numbers.

Are 7 and 15, 12 and 49, 18 and 23 co-prime numbers?

**c**. Can we find the common factors of 4, 12 and 16?

Factors of 4 are 1, 2 and 4.

Factors of 12 are 1, 2, 3, 4, 6 and 12.

Factors of 16 are 1, 2, 4, 8 and 16.

Clearly, 1, 2 and 4 are the common factors of 4, 12, and 16.

Find the common factors of (a) 8, 12, 20 (b) 9, 15, 21.

Let us now look at the multiples of more than one number taken at a time.

(a) What are the multiples of 4 and 6?

The multiples of 4 are 4, 8, 12, 16, 20, 24, … (write a few more)

The multiples of 6 are 6, 12, 18, 24, 30, 36, … (write a few more)

Out of these, are there any numbers which occur in both the lists?

We observe that 12, 24, 36, … are multiples of both 4 and 6.

Can you write a few more?

They are called the common multiples of 4 and 6.

(b) Find the common multiples of 3, 5 and 6.

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, …

Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, …

Multiples of 6 are 6, 12, 18, 24, 30, …

Common multiples of 3, 5 and 6 are 30, 60, …

Find the common factors of

(a) 8, 20 (b) 9, 15

Write a few more common multiples of 3, 5 and 6.