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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 439 · 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 132 and 168 =
  2. 2.HCF of 253 and 414 =
  3. 3.HCF of 42 and 102 =
  4. 4.HCF of 16 and 12 =
  5. 5.HCF of 42 and 51 =
  6. 6.HCF of 84 and 35 =
  7. 7.HCF of 187 and 154 =
  8. 8.HCF of 152 and 88 =
  9. 9.HCF of 44 and 55 =
  10. 10.HCF of 325 and 150 =
  11. 11.HCF of 105 and 294 =
  12. 12.HCF of 228 and 120 =
  13. 13.HCF of 91 and 112 =
  14. 14.HCF of 374 and 418 =
  15. 15.HCF of 323 and 57 =
  16. 16.HCF of 325 and 100 =
  17. 17.HCF of 28 and 40 =
  18. 18.HCF of 152 and 120 =
  19. 19.HCF of 21 and 12 =
  20. 20.HCF of 144 and 120 =
  21. 21.HCF of 108 and 90 =
  22. 22.HCF of 228 and 48 =
  23. 23.HCF of 78 and 120 =
  24. 24.HCF of 80 and 88 =
  25. 25.HCF of 171 and 117 =
  26. 26.HCF of 65 and 208 =
  27. 27.HCF of 65 and 30 =
  28. 28.HCF of 14 and 40 =
  29. 29.HCF of 437 and 161 =
  30. 30.HCF of 40 and 28 =
  31. 31.HCF of 91 and 35 =
  32. 32.HCF of 216 and 336 =
  33. 33.HCF of 190 and 361 =
  34. 34.HCF of 49 and 21 =
  35. 35.HCF of 323 and 152 =
  36. 36.HCF of 38 and 323 =
  37. 37.HCF of 18 and 28 =
  38. 38.HCF of 45 and 20 =
  39. 39.HCF of 26 and 14 =
  40. 40.HCF of 112 and 144 =

Answer key

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

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