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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 572 · 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 171 and 144 =
  2. 2.HCF of 6 and 27 =
  3. 3.HCF of 299 and 46 =
  4. 4.HCF of 144 and 312 =
  5. 5.HCF of 66 and 120 =
  6. 6.HCF of 28 and 24 =
  7. 7.HCF of 76 and 24 =
  8. 8.HCF of 60 and 78 =
  9. 9.HCF of 80 and 95 =
  10. 10.HCF of 165 and 240 =
  11. 11.HCF of 30 and 21 =
  12. 12.HCF of 81 and 45 =
  13. 13.HCF of 15 and 85 =
  14. 14.HCF of 48 and 112 =
  15. 15.HCF of 48 and 21 =
  16. 16.HCF of 48 and 27 =
  17. 17.HCF of 80 and 32 =
  18. 18.HCF of 117 and 108 =
  19. 19.HCF of 182 and 42 =
  20. 20.HCF of 84 and 114 =
  21. 21.HCF of 361 and 266 =
  22. 22.HCF of 315 and 42 =
  23. 23.HCF of 57 and 51 =
  24. 24.HCF of 120 and 78 =
  25. 25.HCF of 150 and 425 =
  26. 26.HCF of 50 and 90 =
  27. 27.HCF of 140 and 98 =
  28. 28.HCF of 136 and 56 =
  29. 29.HCF of 85 and 60 =
  30. 30.HCF of 32 and 240 =
  31. 31.HCF of 209 and 114 =
  32. 32.HCF of 286 and 374 =
  33. 33.HCF of 30 and 22 =
  34. 34.HCF of 42 and 98 =
  35. 35.HCF of 99 and 63 =
  36. 36.HCF of 60 and 65 =
  37. 37.HCF of 280 and 300 =
  38. 38.HCF of 195 and 135 =
  39. 39.HCF of 152 and 247 =
  40. 40.HCF of 208 and 128 =

Answer key

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

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