Our ncert solutions for Exercise 3.6 Class 6 maths 3. Playing with Numbers - ncert solutions - Toppers Study is the best material for English Medium students cbse board and other state boards students.

# Exercise 3.6 Class 6 maths 3. Playing with Numbers - ncert solutions - Toppers Study

Topper Study classes prepares ncert solutions on practical base problems and comes out with the best result that helps the students and teachers as well as tutors and so many ecademic coaching classes that they need in practical life. Our ncert solutions for Exercise 3.6 Class 6 maths 3. Playing with Numbers - ncert solutions - Toppers Study is the best material for English Medium students cbse board and other state boards students.

## Exercise 3.6 Class 6 maths 3. Playing with Numbers - ncert solutions - Toppers Study

CBSE board students who preparing for **class 6 ncert solutions maths and Mathematics** solved exercise **chapter 3. Playing with Numbers** available and this helps in upcoming exams
2024-2025.

### You can Find Mathematics solution Class 6 Chapter 3. Playing with Numbers

- All Chapter review quick revision notes for chapter 3. Playing with Numbers Class 6
- NCERT Solutions And Textual questions Answers Class 6 Mathematics
- Extra NCERT Book questions Answers Class 6 Mathematics
- Importatnt key points with additional Assignment and questions bank solved.

NCERT Solutions do not only help you to cover your syllabus but also will give to textual support in exams 2024-2025 to complete **exercise 3.6 maths class 6 chapter 3** in english medium. So revise and practice these all cbse study materials like class 6 maths chapter 3.6 in english ncert book. Also ensure to repractice all syllabus within time or before board exams for ncert class 6 maths ex 3.6 in english.

See all solutions for class 6 maths chapter 3 exercise 3 in english medium solved questions with answers.

### Exercise 3.6 class 6 Mathematics Chapter 3. Playing with Numbers

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- Exercise 3.6 Class 6 Maths 3. Playing With Numbers - Ncert Solutions - Toppers Study
- Class 6 Ncert Solutions
- Solution Chapter 3. Playing With Numbers Class 6
- Solutions Class 6
- Chapter 3. Playing With Numbers Exercise 3.6 Class 6

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## 3. Playing with Numbers

### | Exercise 3.6 |

## Exercise 3.6 Class 6 maths 3. Playing with Numbers - ncert solutions - Toppers Study

**Exercise -3.6**

**Q1. Find the H.C.F. of the following numbers:**

**(f) 34, 102 **

**Solutions: **

Prime factorization of 34

= 2 × 17

Prime factorization of 102

= 2 × 3 × 17

HCF of 34 and 102 is 2 × 17

= 34

**(g) 70, 105, 175**

**Solution:**

Prime factorization of 70

= 2 × 5 × 7

Prime factorization of 105

= 3 × 5 × 7

Prime factorization of 175

= 5 × 5 × 7

H.C.F. (70, 105, 175)

= 5 × 7

= 35

**(h) 91, 112, 49 **

**Solution: **

Prime factorization of 91

= 7 × 13

Prime factorization of 112

= 2 × 2 × 2 × 2 × 7

Prime factorization of 49

= 7 × 7

H.C.F. (91, 112, 49) = 7

**(i) 18, 54, 81 **

**Solution: **

Prime factorization of 18

= 2 × 3 × 3

Prime factorization of 54

= 2 × 3 × 3 × 3

Prime factorization of 81

= 3 × 3 × 3 × 3

H.C.F. = 3 × 3 = 9

**(j) 12, 45, 75**

**Solution: **

Prime factorization of 12

= 2 × 2 × 3

Prime factorization of 45

= 3 × 3 × 5

Prime factorization of 75

= 3 x 5 x 5

H.C.F. = 1 × 3

= 3

**Q2. What is the H.C.F. of two consecutive:**

**(a) numbers?**

**(b) even numbers?**

**(c) odd numbers? **

**Solution:**

(a) H.C.F. of two consecutive numbers be 1.

(b) H.C.F. of two consecutive even numbers be 2.

(c) H.C.F. of two consecutive odd numbers be 1.

**Q3. H.C.F. of co-prime numbers 4 and 15 was found as follows by factorization:**

**4 = 2 **×** 2 and **

**15 = 3 **×** 5 since there is no common prime factor, so H.C.F. of 4 and 15 is 0. Is the answer correct? If not, what is the correct H.C.F.? **

**Solution:** No. The correct H.C.F. is 1.

##### Other Pages of this Chapter: 3. Playing with Numbers

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