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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 180 · 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 102 and 72 =
  2. 2.HCF of 76 and 285 =
  3. 3.HCF of 70 and 190 =
  4. 4.HCF of 12 and 68 =
  5. 5.HCF of 189 and 294 =
  6. 6.HCF of 10 and 15 =
  7. 7.HCF of 70 and 45 =
  8. 8.HCF of 51 and 9 =
  9. 9.HCF of 25 and 90 =
  10. 10.HCF of 221 and 117 =
  11. 11.HCF of 120 and 312 =
  12. 12.HCF of 275 and 100 =
  13. 13.HCF of 48 and 21 =
  14. 14.HCF of 112 and 91 =
  15. 15.HCF of 80 and 25 =
  16. 16.HCF of 85 and 221 =
  17. 17.HCF of 180 and 126 =
  18. 18.HCF of 24 and 27 =
  19. 19.HCF of 28 and 105 =
  20. 20.HCF of 289 and 221 =
  21. 21.HCF of 168 and 63 =
  22. 22.HCF of 38 and 20 =
  23. 23.HCF of 95 and 171 =
  24. 24.HCF of 176 and 320 =
  25. 25.HCF of 80 and 95 =
  26. 26.HCF of 253 and 322 =
  27. 27.HCF of 399 and 420 =
  28. 28.HCF of 168 and 48 =
  29. 29.HCF of 130 and 20 =
  30. 30.HCF of 299 and 368 =
  31. 31.HCF of 180 and 195 =
  32. 32.HCF of 45 and 81 =
  33. 33.HCF of 320 and 300 =
  34. 34.HCF of 144 and 112 =
  35. 35.HCF of 221 and 26 =
  36. 36.HCF of 35 and 25 =
  37. 37.HCF of 42 and 119 =
  38. 38.HCF of 399 and 315 =
  39. 39.HCF of 323 and 171 =
  40. 40.HCF of 14 and 34 =

Answer key

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

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