Math, asked by sairam4832, 11 months ago

highest common factor 102 68 136​

Answers

Answered by Anonymous
25

Answer:

Step-by-step explanation:

First we find the prime factorization of each number:

68 = 2 x 2 x 17

102 = 2 x 3 x 17

136 = 2 x 2 x 2 x 17

153 = 3 x 3 x 17

We can see that the only factor that is common to all of them is 17, so the greatest common factor of 68, 102, 136, and 153 is 17.

A tip when finding the factors of large numbers like this is to not forget your divisibility rules. For example, 153 is divisible by 3 since 1+5+3 = 9, and 9 is divisible by 3

Answered by qwstoke
3

The HCF of 102, 68, and 136 is 34.

Given:

102, 68, 136

To find:

To find the  HCF of the given numbers.

Solution:

To find the HCF of given numbers we must prime factorize the given numbers.

102 = 2 x 3 x 17

68 = 2 x 2 x 17

136 = 2 x 2 x 2 x 17

Then we have to check which of the prime factors are common among all the numbers given.

In the given question - 2 and 17 are the common factors

Finally, to obtain the HCF we must multiply all the common factors

HCF of 102, 68, and 136 is 34.

#SPJ3

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