What is the HCF of two consecutive (a) numbers? (b) even numbers? (c) odd numbers?
Solution:
We will use the concept of the HCF(Highest Common Factor) to solve this.
(a) When calculating the HCF of two consecutive numbers, the common factor is 1.
Example: Consecutive numbers = 4, 5
The HCF of 4 and 5 is 1
Hence, HCF of any two consecutive numbers is equal to 1.
(b) When calculating the HCF of two consecutive even numbers, the common factor is 2.
Example: Consecutive even numbers = 2, 4
The HCF of 2 and 4 is 2
Hence, HCF of two consecutive even numbers is equal to 2.
(c) When calculating the HCF of two consecutive odd numbers, the common factor is 1.
Example: Consecutive odd numbers = 3, 5
The HCF of 3 and 5 is 1.
Hence, the HCF of two consecutive odd numbers is equal to 1.
You can also use the HCF Calculator to answer this.
NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.6 Question 2
What is the HCF of two consecutive (a) numbers? (b) even numbers? (c) odd numbers?
Summary:
The HCF of two consecutive (a) numbers, (b) even numbers, and (c) odd numbers are 1, 2, and 1, respectively.
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