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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 375 · 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 220 and 198 =
  2. 2.HCF of 136 and 187 =
  3. 3.HCF of 30 and 190 =
  4. 4.HCF of 91 and 35 =
  5. 5.HCF of 40 and 6 =
  6. 6.HCF of 234 and 324 =
  7. 7.HCF of 140 and 266 =
  8. 8.HCF of 475 and 125 =
  9. 9.HCF of 162 and 72 =
  10. 10.HCF of 374 and 132 =
  11. 11.HCF of 16 and 60 =
  12. 12.HCF of 78 and 114 =
  13. 13.HCF of 9 and 21 =
  14. 14.HCF of 49 and 14 =
  15. 15.HCF of 39 and 208 =
  16. 16.HCF of 231 and 147 =
  17. 17.HCF of 286 and 198 =
  18. 18.HCF of 231 and 42 =
  19. 19.HCF of 105 and 189 =
  20. 20.HCF of 300 and 45 =
  21. 21.HCF of 204 and 85 =
  22. 22.HCF of 90 and 78 =
  23. 23.HCF of 153 and 99 =
  24. 24.HCF of 192 and 228 =
  25. 25.HCF of 100 and 140 =
  26. 26.HCF of 220 and 200 =
  27. 27.HCF of 195 and 143 =
  28. 28.HCF of 66 and 114 =
  29. 29.HCF of 154 and 242 =
  30. 30.HCF of 144 and 120 =
  31. 31.HCF of 21 and 112 =
  32. 32.HCF of 143 and 78 =
  33. 33.HCF of 48 and 30 =
  34. 34.HCF of 72 and 27 =
  35. 35.HCF of 88 and 128 =
  36. 36.HCF of 48 and 128 =
  37. 37.HCF of 153 and 187 =
  38. 38.HCF of 63 and 56 =
  39. 39.HCF of 342 and 180 =
  40. 40.HCF of 112 and 70 =

Answer key

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

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