highest common factor 102 68 136
Answers
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
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.
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