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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 647 · 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 21 and 91 =
  2. 2.HCF of 18 and 96 =
  3. 3.HCF of 209 and 114 =
  4. 4.HCF of 20 and 26 =
  5. 5.HCF of 40 and 68 =
  6. 6.HCF of 130 and 160 =
  7. 7.HCF of 110 and 418 =
  8. 8.HCF of 143 and 65 =
  9. 9.HCF of 65 and 182 =
  10. 10.HCF of 90 and 48 =
  11. 11.HCF of 84 and 119 =
  12. 12.HCF of 156 and 240 =
  13. 13.HCF of 176 and 121 =
  14. 14.HCF of 289 and 68 =
  15. 15.HCF of 95 and 50 =
  16. 16.HCF of 105 and 399 =
  17. 17.HCF of 105 and 252 =
  18. 18.HCF of 112 and 210 =
  19. 19.HCF of 72 and 90 =
  20. 20.HCF of 408 and 48 =
  21. 21.HCF of 110 and 198 =
  22. 22.HCF of 56 and 144 =
  23. 23.HCF of 70 and 150 =
  24. 24.HCF of 340 and 260 =
  25. 25.HCF of 323 and 204 =
  26. 26.HCF of 34 and 4 =
  27. 27.HCF of 285 and 361 =
  28. 28.HCF of 264 and 216 =
  29. 29.HCF of 95 and 10 =
  30. 30.HCF of 84 and 24 =
  31. 31.HCF of 18 and 60 =
  32. 32.HCF of 100 and 80 =
  33. 33.HCF of 114 and 209 =
  34. 34.HCF of 84 and 133 =
  35. 35.HCF of 51 and 57 =
  36. 36.HCF of 187 and 22 =
  37. 37.HCF of 56 and 35 =
  38. 38.HCF of 135 and 285 =
  39. 39.HCF of 77 and 35 =
  40. 40.HCF of 120 and 192 =

Answer key

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

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