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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 182 · 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 25 and 80 =
  2. 2.HCF of 51 and 39 =
  3. 3.HCF of 85 and 75 =
  4. 4.HCF of 36 and 306 =
  5. 5.HCF of 266 and 238 =
  6. 6.HCF of 144 and 99 =
  7. 7.HCF of 80 and 152 =
  8. 8.HCF of 144 and 80 =
  9. 9.HCF of 161 and 299 =
  10. 10.HCF of 289 and 221 =
  11. 11.HCF of 323 and 119 =
  12. 12.HCF of 56 and 128 =
  13. 13.HCF of 35 and 14 =
  14. 14.HCF of 399 and 273 =
  15. 15.HCF of 72 and 68 =
  16. 16.HCF of 21 and 60 =
  17. 17.HCF of 374 and 286 =
  18. 18.HCF of 32 and 22 =
  19. 19.HCF of 225 and 30 =
  20. 20.HCF of 77 and 126 =
  21. 21.HCF of 119 and 98 =
  22. 22.HCF of 112 and 272 =
  23. 23.HCF of 95 and 65 =
  24. 24.HCF of 18 and 42 =
  25. 25.HCF of 156 and 48 =
  26. 26.HCF of 76 and 80 =
  27. 27.HCF of 55 and 44 =
  28. 28.HCF of 198 and 121 =
  29. 29.HCF of 400 and 380 =
  30. 30.HCF of 140 and 63 =
  31. 31.HCF of 192 and 228 =
  32. 32.HCF of 70 and 55 =
  33. 33.HCF of 35 and 85 =
  34. 34.HCF of 168 and 105 =
  35. 35.HCF of 140 and 119 =
  36. 36.HCF of 16 and 120 =
  37. 37.HCF of 45 and 12 =
  38. 38.HCF of 45 and 24 =
  39. 39.HCF of 323 and 306 =
  40. 40.HCF of 273 and 147 =

Answer key

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

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