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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 814 · 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 21 and 39 =
  2. 2.HCF of 300 and 325 =
  3. 3.HCF of 140 and 238 =
  4. 4.HCF of 16 and 38 =
  5. 5.HCF of 119 and 340 =
  6. 6.HCF of 460 and 253 =
  7. 7.HCF of 120 and 432 =
  8. 8.HCF of 170 and 160 =
  9. 9.HCF of 135 and 144 =
  10. 10.HCF of 105 and 30 =
  11. 11.HCF of 340 and 80 =
  12. 12.HCF of 220 and 209 =
  13. 13.HCF of 8 and 36 =
  14. 14.HCF of 75 and 275 =
  15. 15.HCF of 88 and 16 =
  16. 16.HCF of 209 and 190 =
  17. 17.HCF of 130 and 221 =
  18. 18.HCF of 115 and 253 =
  19. 19.HCF of 70 and 95 =
  20. 20.HCF of 299 and 322 =
  21. 21.HCF of 198 and 308 =
  22. 22.HCF of 76 and 57 =
  23. 23.HCF of 6 and 45 =
  24. 24.HCF of 136 and 128 =
  25. 25.HCF of 384 and 456 =
  26. 26.HCF of 340 and 289 =
  27. 27.HCF of 91 and 35 =
  28. 28.HCF of 336 and 315 =
  29. 29.HCF of 161 and 437 =
  30. 30.HCF of 30 and 20 =
  31. 31.HCF of 125 and 225 =
  32. 32.HCF of 306 and 252 =
  33. 33.HCF of 368 and 253 =
  34. 34.HCF of 209 and 247 =
  35. 35.HCF of 200 and 170 =
  36. 36.HCF of 119 and 84 =
  37. 37.HCF of 432 and 120 =
  38. 38.HCF of 500 and 275 =
  39. 39.HCF of 80 and 300 =
  40. 40.HCF of 342 and 324 =

Answer key

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

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