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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 377 · 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 99 and 27 =
  2. 2.HCF of 126 and 54 =
  3. 3.HCF of 105 and 285 =
  4. 4.HCF of 36 and 45 =
  5. 5.HCF of 234 and 91 =
  6. 6.HCF of 152 and 95 =
  7. 7.HCF of 66 and 18 =
  8. 8.HCF of 33 and 220 =
  9. 9.HCF of 126 and 81 =
  10. 10.HCF of 352 and 154 =
  11. 11.HCF of 288 and 272 =
  12. 12.HCF of 21 and 77 =
  13. 13.HCF of 375 and 200 =
  14. 14.HCF of 99 and 176 =
  15. 15.HCF of 42 and 45 =
  16. 16.HCF of 80 and 100 =
  17. 17.HCF of 64 and 88 =
  18. 18.HCF of 4 and 26 =
  19. 19.HCF of 119 and 68 =
  20. 20.HCF of 437 and 92 =
  21. 21.HCF of 72 and 16 =
  22. 22.HCF of 391 and 207 =
  23. 23.HCF of 323 and 102 =
  24. 24.HCF of 161 and 69 =
  25. 25.HCF of 138 and 437 =
  26. 26.HCF of 153 and 54 =
  27. 27.HCF of 450 and 325 =
  28. 28.HCF of 266 and 210 =
  29. 29.HCF of 153 and 162 =
  30. 30.HCF of 48 and 44 =
  31. 31.HCF of 30 and 140 =
  32. 32.HCF of 56 and 136 =
  33. 33.HCF of 204 and 24 =
  34. 34.HCF of 112 and 24 =
  35. 35.HCF of 48 and 54 =
  36. 36.HCF of 165 and 60 =
  37. 37.HCF of 80 and 380 =
  38. 38.HCF of 399 and 357 =
  39. 39.HCF of 90 and 153 =
  40. 40.HCF of 52 and 44 =

Answer key

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

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