HCF and LCM Worksheet
The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.
NameDateTime takenScore ___ / 40
- 1.Find the HCF of 18 and 63.
- 2.Find the LCM of 4, 5 and 11.
- 3.Find the HCF of 20 and 30.
- 4.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
- 5.Find the HCF of 12 and 42.
- 6.Find the HCF of 75 and 135.
- 7.Find the HCF of 21 and 12.
- 8.Find the HCF of 99 and 55.
- 9.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
- 10.Find the LCM of 10 and 18.
- 11.Find the HCF of 54 and 48.
- 12.Find the LCM of 5, 15 and 10.
- 13.Find the HCF of 24 and 9.
- 14.Find the LCM of 8 and 28.
- 15.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
- 16.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
- 17.Find the HCF of 48 and 40.
- 18.Find the LCM of 8, 6 and 12.
- 19.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
- 20.Find the HCF of 28 and 8.
- 21.Find the HCF of 99 and 88.
- 22.Find the LCM of 8, 12 and 3.
- 23.Find the LCM of 9 and 2.
- 24.Find the LCM of 4, 12 and 5.
- 25.Find the LCM of 3 and 4.
- 26.Find the LCM of 24 and 30.
- 27.Find the LCM of 30 and 54.
- 28.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
- 29.Find the LCM of 9 and 21.
- 30.Find the HCF of 10 and 6.
- 31.Find the LCM of 8 and 9.
- 32.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
- 33.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
- 34.Find the LCM of 12, 4 and 13.
- 35.Find the LCM of 4 and 5.
- 36.Find the HCF of 28 and 21.
- 37.Find the HCF of 49 and 28.
- 38.Find the LCM of 4, 2 and 14.
- 39.Find the LCM of 16 and 28.
- 40.Find the HCF of 14 and 63.
Answer key
- 9
- 220
- 10
- 20
- 6
- 15
- 3
- 11
- 27
- 90
- 6
- 30
- 3
- 56
- 27
- 10
- 8
- 24
- 56
- 4
- 11
- 24
- 18
- 60
- 12
- 120
- 270
- 10
- 63
- 2
- 72
- 32
- 45
- 156
- 20
- 7
- 7
- 28
- 112
- 7
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude