Coprime number are those whose HCF is one

Exactly! Your understanding is correct.

### Explanation:
**Coprime Numbers** (also known as relatively prime numbers) are pairs of numbers whose highest common factor (HCF), also known as the greatest common divisor (GCD), is 1. This means that the only positive integer that divides both numbers is 1.

For example:
- \( 8 \) and \( 15 \) are coprime because the only common divisor between them is 1. Their HCF is 1.
- \( 14 \) and \( 25 \) are also coprime, as their only common divisor is 1.

### Additional Notes:
- Coprime numbers don’t need to be prime themselves. For instance, 8 and 15 are both composite numbers, yet they are coprime.
- Being coprime is a relationship between two numbers. A number by itself is not "coprime"; it must be compared to another number to determine if the pair is coprime.

Would you like more information or have any specific questions?

Here are some related questions:
1. How do you find the HCF of two numbers?
2. Can a pair of even numbers be coprime?
3. What is the relationship between coprime numbers and the LCM (Least Common Multiple)?
4. Are consecutive integers always coprime?
5. Can a prime number and a composite number be coprime?

**Tip:** When working with fractions, knowing whether the numerator and denominator are coprime can be useful in simplifying the fraction.

Explore coprime numbers with clear explanations and examples. Learn about the concept of coprime numbers, including their definition and how to identify them. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation