Question

Find the HCF by using prime factorisation method 27,54

Answer 1

Answer:

The common factors of 27 and 54 are 27, 9, 3, 1, intersecting the two sets above. In the intersection factors of 27 ∩ factors of 54 the greatest element is 27. Therefore, the greatest common factor of 27 and 54 is 27.

Answer 2

Answer:

HCF of the given number will be 27

Step-by-step explanation:

In context to question asked,

We have to determine the HCF

As per question,

We have,

27, 54

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,

$27 = 3 \times 3 \times 3\\54 = 3 \times 3 \times 3 \times 2\\=>HCF=3\times 3 \times 3 = 27(Common\:Numbers)$