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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 403 · 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 135 and 99 =
  2. 2.HCF of 10 and 35 =
  3. 3.HCF of 21 and 112 =
  4. 4.HCF of 42 and 91 =
  5. 5.HCF of 90 and 75 =
  6. 6.HCF of 14 and 8 =
  7. 7.HCF of 391 and 276 =
  8. 8.HCF of 209 and 380 =
  9. 9.HCF of 40 and 12 =
  10. 10.HCF of 140 and 240 =
  11. 11.HCF of 51 and 15 =
  12. 12.HCF of 76 and 95 =
  13. 13.HCF of 456 and 72 =
  14. 14.HCF of 72 and 192 =
  15. 15.HCF of 425 and 400 =
  16. 16.HCF of 323 and 190 =
  17. 17.HCF of 220 and 286 =
  18. 18.HCF of 48 and 104 =
  19. 19.HCF of 264 and 48 =
  20. 20.HCF of 176 and 112 =
  21. 21.HCF of 65 and 60 =
  22. 22.HCF of 204 and 144 =
  23. 23.HCF of 425 and 400 =
  24. 24.HCF of 189 and 147 =
  25. 25.HCF of 51 and 6 =
  26. 26.HCF of 21 and 77 =
  27. 27.HCF of 84 and 63 =
  28. 28.HCF of 247 and 169 =
  29. 29.HCF of 39 and 65 =
  30. 30.HCF of 40 and 220 =
  31. 31.HCF of 170 and 51 =
  32. 32.HCF of 104 and 112 =
  33. 33.HCF of 396 and 418 =
  34. 34.HCF of 95 and 304 =
  35. 35.HCF of 130 and 80 =
  36. 36.HCF of 182 and 39 =
  37. 37.HCF of 12 and 30 =
  38. 38.HCF of 42 and 28 =
  39. 39.HCF of 242 and 154 =
  40. 40.HCF of 160 and 208 =

Answer key

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

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