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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 129 · 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 198 and 242 =
  2. 2.HCF of 49 and 133 =
  3. 3.HCF of 112 and 64 =
  4. 4.HCF of 120 and 408 =
  5. 5.HCF of 64 and 76 =
  6. 6.HCF of 42 and 35 =
  7. 7.HCF of 108 and 66 =
  8. 8.HCF of 64 and 28 =
  9. 9.HCF of 52 and 65 =
  10. 10.HCF of 252 and 273 =
  11. 11.HCF of 196 and 266 =
  12. 12.HCF of 46 and 207 =
  13. 13.HCF of 140 and 220 =
  14. 14.HCF of 64 and 44 =
  15. 15.HCF of 39 and 65 =
  16. 16.HCF of 360 and 260 =
  17. 17.HCF of 240 and 225 =
  18. 18.HCF of 126 and 231 =
  19. 19.HCF of 10 and 16 =
  20. 20.HCF of 49 and 42 =
  21. 21.HCF of 450 and 125 =
  22. 22.HCF of 247 and 208 =
  23. 23.HCF of 133 and 171 =
  24. 24.HCF of 48 and 120 =
  25. 25.HCF of 100 and 425 =
  26. 26.HCF of 340 and 289 =
  27. 27.HCF of 77 and 42 =
  28. 28.HCF of 54 and 51 =
  29. 29.HCF of 30 and 140 =
  30. 30.HCF of 160 and 48 =
  31. 31.HCF of 72 and 156 =
  32. 32.HCF of 21 and 54 =
  33. 33.HCF of 30 and 16 =
  34. 34.HCF of 30 and 195 =
  35. 35.HCF of 253 and 368 =
  36. 36.HCF of 110 and 170 =
  37. 37.HCF of 253 and 437 =
  38. 38.HCF of 460 and 69 =
  39. 39.HCF of 40 and 85 =
  40. 40.HCF of 195 and 165 =

Answer key

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

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