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FAQ (Frequently Asked Questions)

Q1. What are the Steps of Calculating the HCF of Two Positive Integers?

Ans: To calculate the HCF (Highest Common Factor) of two positive integers x and y (x is greater than y), we can follow the steps mentioned below:

Find out the quotient q and remainder r that satisfy Euclid’s Division Lemma x = (y * q) + r.

If r or remainder is 0, then the HCF of the two numbers is n.

If r is <> 0, then we need to apply Euclid’s division Lemma to y and r.

The above process has to be continued till we get r = 0. When we reach this stage, the divisor would be the HCF of x and y.

Q2. What is the Difference Between Whole Numbers, Integers, and Natural Numbers?

Ans: The definitions of these numbers are as below:

Natural numbers are all non-negative counting numbers, excluding 0, i.e. 5, 6, 7, 8, etc.

Whole numbers are similar to natural numbers except that they include 0, so whole numbers are 0, 1, 2, 3, etc.

Integers comprise all negative and positive numbers (including 0). So integers are -2, -1, 0, 1, 2, etc.