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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 71 · 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 48 =
  2. 2.HCF of 48 and 20 =
  3. 3.HCF of 266 and 280 =
  4. 4.HCF of 247 and 361 =
  5. 5.HCF of 65 and 20 =
  6. 6.HCF of 112 and 42 =
  7. 7.HCF of 352 and 110 =
  8. 8.HCF of 228 and 60 =
  9. 9.HCF of 51 and 340 =
  10. 10.HCF of 72 and 120 =
  11. 11.HCF of 42 and 72 =
  12. 12.HCF of 399 and 273 =
  13. 13.HCF of 33 and 24 =
  14. 14.HCF of 105 and 300 =
  15. 15.HCF of 195 and 30 =
  16. 16.HCF of 136 and 88 =
  17. 17.HCF of 125 and 50 =
  18. 18.HCF of 28 and 72 =
  19. 19.HCF of 150 and 105 =
  20. 20.HCF of 80 and 144 =
  21. 21.HCF of 221 and 204 =
  22. 22.HCF of 21 and 51 =
  23. 23.HCF of 156 and 204 =
  24. 24.HCF of 48 and 57 =
  25. 25.HCF of 84 and 77 =
  26. 26.HCF of 143 and 234 =
  27. 27.HCF of 48 and 40 =
  28. 28.HCF of 171 and 27 =
  29. 29.HCF of 266 and 361 =
  30. 30.HCF of 273 and 420 =
  31. 31.HCF of 240 and 72 =
  32. 32.HCF of 20 and 30 =
  33. 33.HCF of 27 and 171 =
  34. 34.HCF of 272 and 208 =
  35. 35.HCF of 24 and 136 =
  36. 36.HCF of 72 and 162 =
  37. 37.HCF of 63 and 81 =
  38. 38.HCF of 51 and 34 =
  39. 39.HCF of 56 and 76 =
  40. 40.HCF of 85 and 20 =

Answer key

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

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