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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 374 · 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 88 and 330 =
  2. 2.HCF of 57 and 15 =
  3. 3.HCF of 14 and 10 =
  4. 4.HCF of 143 and 182 =
  5. 5.HCF of 306 and 144 =
  6. 6.HCF of 48 and 42 =
  7. 7.HCF of 231 and 147 =
  8. 8.HCF of 253 and 391 =
  9. 9.HCF of 104 and 40 =
  10. 10.HCF of 132 and 209 =
  11. 11.HCF of 399 and 189 =
  12. 12.HCF of 15 and 33 =
  13. 13.HCF of 180 and 117 =
  14. 14.HCF of 60 and 66 =
  15. 15.HCF of 252 and 182 =
  16. 16.HCF of 21 and 14 =
  17. 17.HCF of 80 and 180 =
  18. 18.HCF of 49 and 77 =
  19. 19.HCF of 198 and 308 =
  20. 20.HCF of 225 and 195 =
  21. 21.HCF of 286 and 88 =
  22. 22.HCF of 180 and 204 =
  23. 23.HCF of 48 and 68 =
  24. 24.HCF of 323 and 57 =
  25. 25.HCF of 220 and 280 =
  26. 26.HCF of 252 and 238 =
  27. 27.HCF of 56 and 105 =
  28. 28.HCF of 120 and 220 =
  29. 29.HCF of 30 and 48 =
  30. 30.HCF of 38 and 14 =
  31. 31.HCF of 100 and 120 =
  32. 32.HCF of 320 and 140 =
  33. 33.HCF of 22 and 99 =
  34. 34.HCF of 21 and 36 =
  35. 35.HCF of 48 and 264 =
  36. 36.HCF of 190 and 247 =
  37. 37.HCF of 57 and 209 =
  38. 38.HCF of 275 and 475 =
  39. 39.HCF of 35 and 50 =
  40. 40.HCF of 242 and 198 =

Answer key

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

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