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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 711 · 40 sums
TalentJR

The trick (Sankalana-Vyavakalanabhyam): Take the smaller number away from the bigger one, as many times as it goes. Now use the smaller number and what is left. Repeat until nothing is left: the last number before 0 is the HCF.

NameDateTime takenScore ___ / 40
  1. 1.HCF of 46 and 391 =
  2. 2.HCF of 234 and 198 =
  3. 3.HCF of 104 and 120 =
  4. 4.HCF of 55 and 90 =
  5. 5.HCF of 168 and 147 =
  6. 6.HCF of 15 and 42 =
  7. 7.HCF of 112 and 238 =
  8. 8.HCF of 44 and 68 =
  9. 9.HCF of 162 and 36 =
  10. 10.HCF of 10 and 34 =
  11. 11.HCF of 46 and 69 =
  12. 12.HCF of 169 and 65 =
  13. 13.HCF of 28 and 26 =
  14. 14.HCF of 18 and 24 =
  15. 15.HCF of 360 and 100 =
  16. 16.HCF of 361 and 95 =
  17. 17.HCF of 78 and 114 =
  18. 18.HCF of 54 and 99 =
  19. 19.HCF of 100 and 360 =
  20. 20.HCF of 286 and 418 =
  21. 21.HCF of 24 and 64 =
  22. 22.HCF of 88 and 144 =
  23. 23.HCF of 45 and 30 =
  24. 24.HCF of 42 and 147 =
  25. 25.HCF of 500 and 425 =
  26. 26.HCF of 60 and 21 =
  27. 27.HCF of 170 and 90 =
  28. 28.HCF of 60 and 280 =
  29. 29.HCF of 6 and 45 =
  30. 30.HCF of 22 and 14 =
  31. 31.HCF of 112 and 88 =
  32. 32.HCF of 160 and 380 =
  33. 33.HCF of 150 and 130 =
  34. 34.HCF of 75 and 20 =
  35. 35.HCF of 48 and 114 =
  36. 36.HCF of 100 and 90 =
  37. 37.HCF of 63 and 99 =
  38. 38.HCF of 125 and 175 =
  39. 39.HCF of 312 and 144 =
  40. 40.HCF of 104 and 24 =

Answer key

  1. 23
  2. 18
  3. 8
  4. 5
  5. 21
  6. 3
  7. 14
  8. 4
  9. 18
  10. 2
  11. 23
  12. 13
  13. 2
  14. 6
  15. 20
  16. 19
  17. 6
  18. 9
  19. 20
  20. 22
  21. 8
  22. 8
  23. 15
  24. 21
  25. 25
  26. 3
  27. 10
  28. 20
  29. 3
  30. 2
  31. 8
  32. 20
  33. 10
  34. 5
  35. 6
  36. 10
  37. 9
  38. 25
  39. 24
  40. 8

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