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Number System : HCF Video Lecture | CAT Made Easy - Video Lectures by Nishant Sir | IIM K

Q: 3. What are some applications of HCF in real life?

Ans. The HCF has several practical applications, such as:1. Reducing fractions to their simplest form.2. Dividing items into groups of equal size without leftovers.3. Solving problems related to ratios and proportions in various fields like cooking, construction, and finance.

FAQs on Number System : HCF Video Lecture - CAT Made Easy - Video Lectures by Nishant Sir - IIM K

1. What is the definition of HCF (Highest Common Factor)?

Ans. The Highest Common Factor (HCF), also known as the Greatest Common Divisor (GCD), is the largest number that divides two or more integers without leaving a remainder. It is a fundamental concept in number theory and is used in various mathematical applications, including simplifying fractions and solving problems involving ratios.

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

Ans. There are several methods to find the HCF of two or more numbers: 1. Prime Factorization: Factor each number into its prime factors and multiply the common factors. 2. Division Method: Divide the larger number by the smaller number and continue dividing the divisor by the remainder until the remainder is zero. The last non-zero remainder is the HCF. 3. Listing Factors: List all factors of the numbers and identify the largest common factor.

3. What are some applications of HCF in real life?

Ans. The HCF has several practical applications, such as: 1. Reducing fractions to their simplest form. 2. Dividing items into groups of equal size without leftovers. 3. Solving problems related to ratios and proportions in various fields like cooking, construction, and finance.

4. Can the HCF of two prime numbers be greater than one?

Ans. No, the HCF of two prime numbers is always one, as prime numbers have no positive divisors other than one and themselves. Therefore, they do not share any common factors other than one.

5. How does the HCF relate to LCM (Least Common Multiple)?

Ans. The HCF and LCM of two numbers are related through the equation: HCF × LCM = Product of the numbers. This relationship shows that knowing either the HCF or LCM can help find the other when the two numbers are known.

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Oct 20, 2025 Last updated

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	CAT Made Easy - Video Lectures by Nishant Sir \| IIM K 66 videos\|1 docs

CAT Made Easy - Video Lectures by Nishant Sir | IIM K

66 videos|1 docs

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