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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 468 · 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 253 and 230 =
  2. 2.HCF of 105 and 120 =
  3. 3.HCF of 36 and 57 =
  4. 4.HCF of 52 and 8 =
  5. 5.HCF of 308 and 286 =
  6. 6.HCF of 84 and 72 =
  7. 7.HCF of 208 and 240 =
  8. 8.HCF of 98 and 119 =
  9. 9.HCF of 91 and 21 =
  10. 10.HCF of 24 and 60 =
  11. 11.HCF of 120 and 152 =
  12. 12.HCF of 21 and 57 =
  13. 13.HCF of 176 and 192 =
  14. 14.HCF of 136 and 128 =
  15. 15.HCF of 84 and 357 =
  16. 16.HCF of 126 and 108 =
  17. 17.HCF of 32 and 72 =
  18. 18.HCF of 15 and 35 =
  19. 19.HCF of 255 and 75 =
  20. 20.HCF of 300 and 425 =
  21. 21.HCF of 64 and 48 =
  22. 22.HCF of 70 and 196 =
  23. 23.HCF of 242 and 110 =
  24. 24.HCF of 45 and 42 =
  25. 25.HCF of 81 and 18 =
  26. 26.HCF of 100 and 85 =
  27. 27.HCF of 400 and 325 =
  28. 28.HCF of 225 and 195 =
  29. 29.HCF of 312 and 456 =
  30. 30.HCF of 15 and 27 =
  31. 31.HCF of 323 and 95 =
  32. 32.HCF of 143 and 176 =
  33. 33.HCF of 10 and 15 =
  34. 34.HCF of 272 and 85 =
  35. 35.HCF of 30 and 195 =
  36. 36.HCF of 48 and 40 =
  37. 37.HCF of 190 and 150 =
  38. 38.HCF of 198 and 143 =
  39. 39.HCF of 51 and 18 =
  40. 40.HCF of 374 and 66 =

Answer key

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

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