Question

15,45 find the hcf using the prime factorisation method​

Answer 1

Answer:

HCF by Prime Factorization

Now the factors of 45 are 1,3,5,9,15 and 45 itself. Now, apart from 3 and 5 the other numbers 9 and 15 are composite numbers. We hence further factorize them with 9= 3×3 and 15=3×5. So the factors of 45 shall be only 1,3,3, and 5.

Answer 2

Answer:

HCF of the given number will be 15

Step-by-step explanation:

In context to question asked,

We have to determine the HCF

As per question,

We have,

15, 45

As it is mentioned to determine the HCF by using prime factorisation method.

We know that,

• HCF of two or more number is that particular number which is the highest common factors of all the given number.

• Prime factorisation method is the method in which we convert the given number as a factors of prime numbers.

• Prime numbers are those numbers which are either divisible by 1 or itself.
• HCF of any prime number is always 1

So, converting the given number in form of prime numbers,

We will get,

$15 = 3 \times 5 \\45 = 3 \times 5 \times 3 \\HCF = 3 \times 5 = 15\:(Common\:Number)$