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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 627 · 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 60 and 380 =
  2. 2.HCF of 78 and 120 =
  3. 3.HCF of 408 and 288 =
  4. 4.HCF of 63 and 133 =
  5. 5.HCF of 88 and 33 =
  6. 6.HCF of 143 and 221 =
  7. 7.HCF of 300 and 280 =
  8. 8.HCF of 242 and 330 =
  9. 9.HCF of 78 and 42 =
  10. 10.HCF of 160 and 60 =
  11. 11.HCF of 40 and 25 =
  12. 12.HCF of 266 and 126 =
  13. 13.HCF of 24 and 21 =
  14. 14.HCF of 336 and 72 =
  15. 15.HCF of 198 and 77 =
  16. 16.HCF of 99 and 72 =
  17. 17.HCF of 253 and 115 =
  18. 18.HCF of 264 and 242 =
  19. 19.HCF of 48 and 40 =
  20. 20.HCF of 90 and 36 =
  21. 21.HCF of 95 and 10 =
  22. 22.HCF of 48 and 32 =
  23. 23.HCF of 170 and 130 =
  24. 24.HCF of 117 and 247 =
  25. 25.HCF of 55 and 66 =
  26. 26.HCF of 84 and 77 =
  27. 27.HCF of 70 and 130 =
  28. 28.HCF of 357 and 210 =
  29. 29.HCF of 300 and 340 =
  30. 30.HCF of 28 and 72 =
  31. 31.HCF of 75 and 50 =
  32. 32.HCF of 220 and 40 =
  33. 33.HCF of 144 and 198 =
  34. 34.HCF of 198 and 72 =
  35. 35.HCF of 128 and 120 =
  36. 36.HCF of 14 and 63 =
  37. 37.HCF of 119 and 133 =
  38. 38.HCF of 40 and 14 =
  39. 39.HCF of 49 and 133 =
  40. 40.HCF of 30 and 78 =

Answer key

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

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