Question

in which condition the HCF of two numbers is one of them give an example​

Answer 1

Answer:

HCF of two numbers is the highest common number, which is available in both the numbers. Before we proceed ahead to find the HCF, let us discuss what HCF is. HCF or highest common factor is the factor of any two or more numbers, which are common among them. Sometimes, it is also called the greatest common factor (GCF) or greatest common divisor (GCD).

For example, the HCF of 2 and 4 is 2, because 2 is the number which is common to both 2 and 4. For such small numbers, finding HCF is an easy method. But for larger numbers, we need to use different techniques such as prime factorisation and long division method, to find the HCF.

Let us discuss both the techniques

Step-by-step explanation:

HCF of two numbers By Prime Factorisation

Let us solve some examples here to understand this method.

Question 1: What is the HCF of 24 and 36?

Solution: By prime factorisation, we can write the two numbers;

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

Hence, after factoring the numbers 24 and 36, we can see, the factors 2x2x3 are common.

Therefore, the HCF (24, 36) = 2x2x3 = 12

Question 2: What is the HCF of 35 and 55?

Solution: By prime factorisaton we can write the two numbers as:

35 = 5 x 7

55 = 5 x 11

Hence, we can see the highest common factor for 35 and 55 here is 5.

Therefore, HCF (35, 55) = 5

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