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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 391 · 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 336 and 273 =
  2. 2.HCF of 170 and 153 =
  3. 3.HCF of 368 and 69 =
  4. 4.HCF of 35 and 91 =
  5. 5.HCF of 180 and 234 =
  6. 6.HCF of 336 and 264 =
  7. 7.HCF of 95 and 10 =
  8. 8.HCF of 72 and 54 =
  9. 9.HCF of 30 and 22 =
  10. 10.HCF of 78 and 30 =
  11. 11.HCF of 238 and 221 =
  12. 12.HCF of 306 and 119 =
  13. 13.HCF of 228 and 156 =
  14. 14.HCF of 105 and 399 =
  15. 15.HCF of 35 and 119 =
  16. 16.HCF of 8 and 20 =
  17. 17.HCF of 231 and 42 =
  18. 18.HCF of 84 and 77 =
  19. 19.HCF of 35 and 95 =
  20. 20.HCF of 140 and 63 =
  21. 21.HCF of 52 and 32 =
  22. 22.HCF of 288 and 208 =
  23. 23.HCF of 418 and 286 =
  24. 24.HCF of 330 and 308 =
  25. 25.HCF of 136 and 128 =
  26. 26.HCF of 72 and 40 =
  27. 27.HCF of 380 and 200 =
  28. 28.HCF of 216 and 204 =
  29. 29.HCF of 72 and 112 =
  30. 30.HCF of 56 and 133 =
  31. 31.HCF of 238 and 153 =
  32. 32.HCF of 396 and 374 =
  33. 33.HCF of 21 and 119 =
  34. 34.HCF of 33 and 48 =
  35. 35.HCF of 36 and 240 =
  36. 36.HCF of 280 and 98 =
  37. 37.HCF of 276 and 253 =
  38. 38.HCF of 48 and 272 =
  39. 39.HCF of 91 and 77 =
  40. 40.HCF of 105 and 195 =

Answer key

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

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