Question

Find the HCF of 35 and 42 by using prime factorisation method

Answer 1

Answer:

210

Step-by-step explanation:

35 and 42 are there in 7's table. 7 times 5 is 35 and 7 times 6 is 42. And when you do that step next you will get 5, 6. There is 5 in 5's table and there is 6 in 3's table. 5 times 1 is 5 and 3 times 2 is 6. Then you get a step 1, 2. there is 2 in 2's table. And 2 times 1 is 2. So then you multiply the numbers you answered the question with. Then finally you will get the HCF as 210.

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Answer 2

Answer:

HCF of the given number will be 7

Step-by-step explanation:

In context to question asked,

We have to determine the HCF

As per question,

We have,

35, 42

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,

$35 = 7 \times 5\\42 = 3 \times 2 \times 7 \\=>HCF= 7 (Common\:Numbers)$