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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 25 · 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 66 and 60 =
  2. 2.HCF of 70 and 160 =
  3. 3.HCF of 100 and 80 =
  4. 4.HCF of 120 and 135 =
  5. 5.HCF of 25 and 90 =
  6. 6.HCF of 161 and 391 =
  7. 7.HCF of 189 and 294 =
  8. 8.HCF of 42 and 39 =
  9. 9.HCF of 36 and 68 =
  10. 10.HCF of 125 and 450 =
  11. 11.HCF of 18 and 51 =
  12. 12.HCF of 95 and 25 =
  13. 13.HCF of 216 and 198 =
  14. 14.HCF of 255 and 238 =
  15. 15.HCF of 10 and 6 =
  16. 16.HCF of 378 and 399 =
  17. 17.HCF of 49 and 35 =
  18. 18.HCF of 68 and 8 =
  19. 19.HCF of 208 and 169 =
  20. 20.HCF of 475 and 125 =
  21. 21.HCF of 20 and 6 =
  22. 22.HCF of 90 and 114 =
  23. 23.HCF of 207 and 230 =
  24. 24.HCF of 72 and 32 =
  25. 25.HCF of 120 and 192 =
  26. 26.HCF of 39 and 60 =
  27. 27.HCF of 432 and 120 =
  28. 28.HCF of 144 and 128 =
  29. 29.HCF of 336 and 231 =
  30. 30.HCF of 96 and 102 =
  31. 31.HCF of 216 and 312 =
  32. 32.HCF of 39 and 48 =
  33. 33.HCF of 253 and 322 =
  34. 34.HCF of 114 and 102 =
  35. 35.HCF of 57 and 42 =
  36. 36.HCF of 6 and 4 =
  37. 37.HCF of 24 and 80 =
  38. 38.HCF of 95 and 70 =
  39. 39.HCF of 6 and 22 =
  40. 40.HCF of 152 and 64 =

Answer key

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

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