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Railways Exam || HCF AND LCM || PART- 4 Video Lecture | Railways Exam Preparation (in Hindi) - RRB Group D / RPF Constable

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FAQs on Railways Exam -- HCF AND LCM -- PART- 4 Video Lecture - Railways Exam Preparation (in Hindi) - RRB Group D / RPF Constable

1. What is HCF (Highest Common Factor) and LCM (Least Common Multiple) in mathematics?
Ans. In mathematics, HCF (Highest Common Factor) refers to the largest positive integer that can divide two or more integers without leaving any remainder. On the other hand, LCM (Least Common Multiple) denotes the smallest positive integer that is divisible by two or more given integers.
2. How can we find the HCF of two or more numbers?
Ans. To find the HCF of two or more numbers, we can use various methods such as prime factorization, division method, or Euclidean algorithm. Prime factorization involves finding the prime factors of the given numbers and then multiplying them together to get the HCF. The division method involves dividing the numbers and finding the remainder until the remainder becomes zero, and the last divisor used is the HCF. Euclidean algorithm is a step-by-step process where the larger number is divided by the smaller number repeatedly until the remainder becomes zero, and the last non-zero remainder is the HCF.
3. How can we find the LCM of two or more numbers?
Ans. Finding the LCM of two or more numbers can be done using different methods. One method is prime factorization, where we find the prime factors of the given numbers and then multiply the highest powers of all prime factors together to get the LCM. Another method is the division method, where we divide the numbers by the smallest prime number repeatedly until we cannot divide further, and then multiply the divisors and the remaining numbers together to obtain the LCM.
4. What is the relationship between HCF and LCM of two numbers?
Ans. The relationship between the HCF and LCM of two numbers is given by the product of the two numbers equals the product of their HCF and LCM. Mathematically, if a and b are two numbers, then a x b = HCF(a, b) x LCM(a, b). This relationship holds true for any two numbers.
5. Can the HCF of two numbers ever be greater than their LCM?
Ans. No, the HCF (Highest Common Factor) of two numbers can never be greater than their LCM (Least Common Multiple). This is because the LCM is always equal to or greater than the numbers themselves, while the HCF is always a factor of the numbers and thus cannot exceed them.
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