Find the HCF of the following numbers
102, 595, 357
Answers
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3
Answer:
The HCF of 102, 595, 357 is 3
Step-by-step explanation:
Answered by
5
The HCF of 102, 595, and 357 is 17.
Given:
Three numbers: 102, 595, and 357.
To Find:
The HCF of the given numbers.
Solution:
The HCF or highest common factor of the given numbers is the highest factor that divides each of the numbers.
The steps to calculate HCF are as follows:
Step 1: Find the prime factorization of each of the given numbers.
102 = 2 × 3 × 17
595 = 5 × 7 × 17
357 = 3 × 7 × 17
Step 2: Find the product of the common factors of each of the given numbers. This gives us the required HCF.
We observe that only 17 is common to 102, 595, and 357.
Hence, HCF(102, 595, 357) = 17.
∴ The HCF of 102, 595, and 357 is 17.
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