HCF and LCM (Part 3) Video Lecture | Railways Exam Preparation (in Hindi) - RRB Group D / RPF Constable

FAQs on HCF and LCM (Part 3) Video Lecture - Railways Exam Preparation (in Hindi) - RRB Group D / RPF Constable

1. What is the meaning of HCF and LCM?
Ans. HCF stands for Highest Common Factor and LCM stands for Least Common Multiple. HCF is the largest number that divides two or more numbers without leaving a remainder, while LCM is the smallest number that is divisible by two or more numbers without leaving a remainder.
2. How can I calculate the HCF and LCM of two or more numbers?
Ans. To calculate the HCF of two or more numbers, you can use methods such as prime factorization, division method, or Euclidean algorithm. To calculate the LCM, you can use methods such as prime factorization, division method, or the formula LCM = (number1 * number2) / HCF.
3. What is the significance of HCF and LCM in mathematics?
Ans. HCF and LCM are important concepts in mathematics as they help in solving various problems related to fractions, simplification of ratios, finding the smallest common multiple, and determining the maximum number of times two or more numbers can be added or subtracted to obtain a multiple of a given number.
4. Can HCF be greater than LCM?
Ans. No, HCF cannot be greater than LCM. The HCF is always a factor of the given numbers, while the LCM is always a multiple of the given numbers. Since a factor cannot be greater than its multiple, the HCF will always be smaller than or equal to the LCM.
5. How can HCF and LCM be applied in real-life scenarios?
Ans. HCF and LCM have practical applications in various fields such as time and distance calculations, scheduling tasks, optimizing resources, and solving problems involving ratios and proportions. For example, HCF and LCM can be used to determine the least number of times two events will coincide or to find the optimal time to schedule recurring events.
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