Some Problems On Hcf And Lcm

To solve this question, we need to find the H.C.F. (Highest Common Factor) of the numbers 8, 9, and 25.

1. Prime Factorization:
- 8 = 2 × 2 × 2
- 9 = 3 × 3
- 25 = 5 × 5

2. Identifying Common Factors:
The factors of each number do not share any common prime factor. Therefore, their highest common factor is 1.

Final Answer:
Option (B) 1 is correct.

To solve the problem, we need to understand what it means when the H.C.F. (Highest Common Factor) of two numbers is 1.

1. Understanding H.C.F.:
The H.C.F. of two numbers is the greatest number that divides both of them exactly.

2. Definition of Coprime Numbers:
Two numbers are said to be coprime (or relatively prime) if their H.C.F. is 1. This means they have no common factors other than 1.

3. Clarifying the Other Options:
- Prime numbers are numbers greater than 1 that have only two divisors: 1 and the number itself, but this doesn’t imply anything about H.C.F. with another number.
- Irrational numbers are numbers that cannot be expressed as a ratio of two integers.
- Rational numbers are numbers that can be expressed as a ratio of two integers. None of these directly relate to H.C.F. being 1 between two numbers.

Final Answer:
The correct term for two numbers whose H.C.F. is 1 is .