# Exercise 3.6

Find hcf of numbers0 %

0

Complete above steps to enable this content

- Find the HCF of the following numbers?

a. 18,48 =

b. 30,42 =

c. 18,60 =

d. 27,63 =

Find hcf of even and odd numbers0 %

0

Complete above steps to enable this content

**What is the HCF of two consecutive (a) numbers?(b) even numbers?(c) odd numbers?**

a.Numbers-Since consecutive numbers differ by 1, they have no common factors other than 1.

Example- Factors of 4 and 5 are 1, , ,5 common factors are 1

b.Even Numbers-Two consecutive even numbers can be represented as 2n and 2n+2 where n is a integer.

Example- Factors of 4 and 6 are 1, 2, , , , 10 The only common factor between any two consecutive even numbers is 2.

c.Two consecutive odd numbers can be represented as 2n+1 and 2n+3 where n is an integer.

Example- Factors of 3 and 5 are 1, , Consecutive odd numbers are always odd and differ by 2. Since they are consecutive, they have no common factors other than 1.

Find hcf of co-primes0 %

0

Complete above steps to enable this content

**HCF of co-prime numbers 4 and 15 was found as follows by factorisation :4 = 2 × 2 and 15 = 3 × 5 since there is no common prime factor, so HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF.**

Since

The correct HCF of two co-prime numbers is always

**Conclusion:** The correct HCF of 4 and 15 is 1