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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 61 · 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 14 and 12 =
  2. 2.HCF of 24 and 156 =
  3. 3.HCF of 84 and 36 =
  4. 4.HCF of 475 and 350 =
  5. 5.HCF of 247 and 91 =
  6. 6.HCF of 27 and 117 =
  7. 7.HCF of 63 and 119 =
  8. 8.HCF of 51 and 15 =
  9. 9.HCF of 253 and 69 =
  10. 10.HCF of 42 and 224 =
  11. 11.HCF of 26 and 4 =
  12. 12.HCF of 57 and 38 =
  13. 13.HCF of 6 and 14 =
  14. 14.HCF of 60 and 102 =
  15. 15.HCF of 77 and 44 =
  16. 16.HCF of 24 and 90 =
  17. 17.HCF of 170 and 60 =
  18. 18.HCF of 256 and 48 =
  19. 19.HCF of 160 and 100 =
  20. 20.HCF of 76 and 247 =
  21. 21.HCF of 16 and 38 =
  22. 22.HCF of 140 and 170 =
  23. 23.HCF of 242 and 440 =
  24. 24.HCF of 95 and 55 =
  25. 25.HCF of 156 and 180 =
  26. 26.HCF of 112 and 35 =
  27. 27.HCF of 42 and 231 =
  28. 28.HCF of 65 and 247 =
  29. 29.HCF of 110 and 77 =
  30. 30.HCF of 133 and 63 =
  31. 31.HCF of 289 and 102 =
  32. 32.HCF of 85 and 95 =
  33. 33.HCF of 231 and 189 =
  34. 34.HCF of 15 and 25 =
  35. 35.HCF of 304 and 144 =
  36. 36.HCF of 16 and 136 =
  37. 37.HCF of 220 and 180 =
  38. 38.HCF of 57 and 361 =
  39. 39.HCF of 320 and 272 =
  40. 40.HCF of 117 and 91 =

Answer key

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

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