Question

Using prime factorisation find the HCF of 1140 and 1260

Answer 1

step 1 = 1140/2=570

570/2=285

285/3=95

95/5=19

19/19=1

step 2 = 1260/2=630

630/2=315

315/3=105

105/3=35

35/5=7

7/7=1

step 3 = 2*2*3*5= 60

Answer 2

Answer:

HCF of the given number will be 60

Step-by-step explanation:

In context to question asked,

We have to determine the HCF

As per question,

We have,

1140, 1260

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,

$1140 = 2 \times 3 \times 2 \times 19 \times 5\\90 = 3 \times 3 \times 2 \times 2 \times 5 \times 7 \\=>HCF= 2 \times 2 \times 3 \times 5 = 60 (Common\:Numbers)$