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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 734 · 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 176 and 99 =
  2. 2.HCF of 144 and 40 =
  3. 3.HCF of 280 and 180 =
  4. 4.HCF of 102 and 18 =
  5. 5.HCF of 30 and 27 =
  6. 6.HCF of 60 and 144 =
  7. 7.HCF of 36 and 68 =
  8. 8.HCF of 20 and 35 =
  9. 9.HCF of 450 and 275 =
  10. 10.HCF of 160 and 260 =
  11. 11.HCF of 114 and 42 =
  12. 12.HCF of 500 and 425 =
  13. 13.HCF of 95 and 70 =
  14. 14.HCF of 120 and 432 =
  15. 15.HCF of 80 and 64 =
  16. 16.HCF of 286 and 308 =
  17. 17.HCF of 228 and 48 =
  18. 18.HCF of 21 and 36 =
  19. 19.HCF of 21 and 56 =
  20. 20.HCF of 65 and 117 =
  21. 21.HCF of 36 and 126 =
  22. 22.HCF of 18 and 14 =
  23. 23.HCF of 255 and 289 =
  24. 24.HCF of 140 and 320 =
  25. 25.HCF of 84 and 114 =
  26. 26.HCF of 48 and 36 =
  27. 27.HCF of 153 and 135 =
  28. 28.HCF of 380 and 60 =
  29. 29.HCF of 49 and 63 =
  30. 30.HCF of 133 and 95 =
  31. 31.HCF of 84 and 63 =
  32. 32.HCF of 12 and 51 =
  33. 33.HCF of 70 and 154 =
  34. 34.HCF of 96 and 216 =
  35. 35.HCF of 231 and 294 =
  36. 36.HCF of 45 and 100 =
  37. 37.HCF of 99 and 117 =
  38. 38.HCF of 460 and 437 =
  39. 39.HCF of 168 and 180 =
  40. 40.HCF of 21 and 57 =

Answer key

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

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