Find the HCF by finding factors: 75, 79, 89.

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answer is C.

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Detailed Solution

Concept- Detailed solution can be understood after the concept of prime factorization is known.The concept and explanation is given below. Expressing a number in terms of its Prime Factors is used. Factors of a number, are the numbers that are the exact divisor of the number they are a factor of. For example, Prime factors of 12 are: 2,2 & 3.
Now step by step solution is given below
Given numbers - 75,79,89
Writing Prime factors of all three numbers one by one,
→ 75 = 3 ✕ 5 ✕ 5
→ 79 = 79 (79 is a prime number)
→ 89 = 89 (89 is also a prime number)
After calculation of prime factors, The product of common factor(s) will be the HCF.
Since there is no common factor,
∴ HCF of the given numbers will be 1
Hence, the correct option is 3) 1

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