FAQs on Finding Highest Common Factor (HCF) of 2 Numbers

Question 1

1. What is the highest common factor (HCF) of two numbers?

Accepted Answer

Ans. The highest common factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder.

Question 2

2. How can I find the HCF of two numbers?

Accepted Answer

Ans. To find the HCF of two numbers, you can use various methods such as prime factorization, division method, or Euclidean algorithm. These methods involve breaking down the numbers into their prime factors and finding the common factors.

Question 3

3. What is the significance of finding the HCF of two numbers?

Accepted Answer

Ans. Finding the HCF of two numbers is essential in various mathematical operations and problem-solving. It helps in simplifying fractions, finding equivalent fractions, solving problems related to ratios and proportions, and finding the least common multiple (LCM) of two numbers.

Question 4

4. Can the HCF of two numbers be greater than the smaller number itself?

Accepted Answer

Ans. No, the HCF of two numbers cannot be greater than the smaller number itself. The HCF will always be a factor of both numbers, and therefore, it cannot exceed the smaller number.

Question 5

5. Is it possible for two numbers to have a HCF of 1?

Accepted Answer

Ans. Yes, it is possible for two numbers to have a HCF of 1. When two numbers have no common factors other than 1, their HCF is 1. Such numbers are called coprime or relatively prime numbers.

Finding Highest Common Factor (HCF) of 2 Numbers Video Lecture - Advance

Advance Learner Course: Mathematics (Maths) Class 5

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