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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 745 · 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 110 and 150 =
  2. 2.HCF of 66 and 55 =
  3. 3.HCF of 136 and 255 =
  4. 4.HCF of 153 and 323 =
  5. 5.HCF of 105 and 336 =
  6. 6.HCF of 110 and 40 =
  7. 7.HCF of 294 and 273 =
  8. 8.HCF of 209 and 55 =
  9. 9.HCF of 242 and 132 =
  10. 10.HCF of 143 and 91 =
  11. 11.HCF of 288 and 90 =
  12. 12.HCF of 475 and 75 =
  13. 13.HCF of 45 and 30 =
  14. 14.HCF of 304 and 171 =
  15. 15.HCF of 272 and 144 =
  16. 16.HCF of 132 and 84 =
  17. 17.HCF of 176 and 32 =
  18. 18.HCF of 68 and 52 =
  19. 19.HCF of 156 and 168 =
  20. 20.HCF of 294 and 189 =
  21. 21.HCF of 253 and 207 =
  22. 22.HCF of 170 and 80 =
  23. 23.HCF of 105 and 150 =
  24. 24.HCF of 70 and 95 =
  25. 25.HCF of 76 and 209 =
  26. 26.HCF of 35 and 15 =
  27. 27.HCF of 294 and 63 =
  28. 28.HCF of 42 and 63 =
  29. 29.HCF of 240 and 75 =
  30. 30.HCF of 60 and 51 =
  31. 31.HCF of 220 and 418 =
  32. 32.HCF of 55 and 15 =
  33. 33.HCF of 152 and 32 =
  34. 34.HCF of 54 and 126 =
  35. 35.HCF of 247 and 234 =
  36. 36.HCF of 24 and 28 =
  37. 37.HCF of 288 and 126 =
  38. 38.HCF of 210 and 182 =
  39. 39.HCF of 85 and 51 =
  40. 40.HCF of 144 and 136 =

Answer key

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

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