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Important Concepts: HCF & LCM Video Lecture | General Aptitude for GATE - Mechanical Engineering

FAQs on Important Concepts: HCF & LCM Video Lecture - General Aptitude for GATE - Mechanical Engineering

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

Ans. The HCF, or Highest Common Factor, is the largest positive integer that divides two or more numbers without leaving any remainder.

2. What is the LCM (Least Common Multiple)?

Ans. The LCM, or Least Common Multiple, is the smallest positive integer that is divisible by two or more numbers without leaving any remainder.

3. How can HCF be calculated?

Ans. HCF can be calculated by finding the common factors of the given numbers and then selecting the largest one. This can be done by either listing the factors or using the prime factorization method.

4. How can LCM be calculated?

Ans. LCM can be calculated by finding the common multiples of the given numbers and then selecting the smallest one. This can be done by either listing the multiples or using the prime factorization method.

5. What is the relationship between HCF and LCM?

Ans. The relationship between HCF and LCM is that the product of two numbers is equal to the product of their HCF and LCM. In other words, HCF × LCM = Product of the two numbers. This relationship is known as the Fundamental Theorem of Arithmetic.

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May 23, 2025 Last updated

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