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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 367 · 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 105 and 231 =
  2. 2.HCF of 30 and 32 =
  3. 3.HCF of 272 and 119 =
  4. 4.HCF of 18 and 63 =
  5. 5.HCF of 176 and 32 =
  6. 6.HCF of 154 and 55 =
  7. 7.HCF of 112 and 136 =
  8. 8.HCF of 156 and 132 =
  9. 9.HCF of 35 and 112 =
  10. 10.HCF of 272 and 160 =
  11. 11.HCF of 247 and 76 =
  12. 12.HCF of 68 and 16 =
  13. 13.HCF of 264 and 242 =
  14. 14.HCF of 45 and 21 =
  15. 15.HCF of 128 and 112 =
  16. 16.HCF of 336 and 273 =
  17. 17.HCF of 35 and 95 =
  18. 18.HCF of 126 and 288 =
  19. 19.HCF of 85 and 15 =
  20. 20.HCF of 66 and 120 =
  21. 21.HCF of 306 and 323 =
  22. 22.HCF of 200 and 220 =
  23. 23.HCF of 253 and 460 =
  24. 24.HCF of 33 and 55 =
  25. 25.HCF of 64 and 44 =
  26. 26.HCF of 72 and 60 =
  27. 27.HCF of 56 and 119 =
  28. 28.HCF of 36 and 56 =
  29. 29.HCF of 187 and 34 =
  30. 30.HCF of 80 and 304 =
  31. 31.HCF of 198 and 72 =
  32. 32.HCF of 437 and 138 =
  33. 33.HCF of 266 and 171 =
  34. 34.HCF of 32 and 120 =
  35. 35.HCF of 280 and 100 =
  36. 36.HCF of 260 and 60 =
  37. 37.HCF of 240 and 168 =
  38. 38.HCF of 221 and 65 =
  39. 39.HCF of 91 and 208 =
  40. 40.HCF of 104 and 56 =

Answer key

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

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