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Question

The Euclidean algorithm is used to calculate the

This question was previously asked in
CDS I 2020 Elementary Mathematics Previous Year Paper (02-Feb-2020)
The correct answer is

HCF of two integers

The correct answer is HCF of two integers.

The Euclidean algorithm is a highly efficient method for computing the highest common factor (HCF) , also known as the greatest common divisor (GCD) , of two integers. It is one of the oldest algorithms known, dating back to ancient Greek mathematician Euclid's Elements. Therefore, the Euclidean algorithm is used to calculate the HCF of two integers.

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Similar Questions

  1. If (x + k) is the HCF of x 2+ 5x + 6 and x 2+ 8x + 15, then what is the value of k?

  2. A floor of a big hall has dimensions 30 m 60 cm and 23 m 40 cm. It is to be paved with square tiles of same size. What is the minimum number of tiles required ?

  3. LCM of two numbers is 28 times their HCF. The sum of the HCF and the LCM is 1740. If one of there numbers is 240, then what is the other number ?

  4. What is the HCF of 329 - 9 and 338 - 9 ?

  5. The product of two non-zero expressions is (x + y + z) p 3. If their HCF is p 2, then their LCM is

  6. The LCM of two prime numbers p and q is 2231, where p > q. What is the value of p - q ?

  7. Three runners are running in a circular track, and they complete one round in 20, 30 and 35 minutes respectively. When will they next meet at the starting point ?

  8. What is the least perfect square which is divisible by 3, 4, 5, 6 and 7?

  9. If (x - k) is the HCF of x 2+ ax + b and x 2+ cx + d, then what is the value of k?

  10. HCF of two numbers is 12. Which one of the following can never be their LCM?


Important Questions from LCM and HCF

  1. The HCF and LCM of two numbers are 12 and 72, respectively. If the ratio of the two numbers is 2 ∶ 3, then the larger of the two numbers is:

  2. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

  3. Joseph visits the club on every 5 th day, Harsh visits on every 24 th day, while Sumit visits on every 9 th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

  4. What is the least number which when divided by 12,20 and 24 leaves in each case a remainder of 8?

  5. Which of the following is a pair of co-primes?

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