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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 178 · 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 85 and 25 =
  2. 2.HCF of 147 and 63 =
  3. 3.HCF of 418 and 264 =
  4. 4.HCF of 36 and 171 =
  5. 5.HCF of 21 and 9 =
  6. 6.HCF of 60 and 80 =
  7. 7.HCF of 133 and 56 =
  8. 8.HCF of 77 and 28 =
  9. 9.HCF of 200 and 175 =
  10. 10.HCF of 51 and 340 =
  11. 11.HCF of 140 and 240 =
  12. 12.HCF of 115 and 46 =
  13. 13.HCF of 26 and 10 =
  14. 14.HCF of 56 and 52 =
  15. 15.HCF of 6 and 51 =
  16. 16.HCF of 28 and 105 =
  17. 17.HCF of 80 and 112 =
  18. 18.HCF of 72 and 192 =
  19. 19.HCF of 308 and 330 =
  20. 20.HCF of 78 and 30 =
  21. 21.HCF of 140 and 150 =
  22. 22.HCF of 320 and 340 =
  23. 23.HCF of 45 and 105 =
  24. 24.HCF of 221 and 143 =
  25. 25.HCF of 260 and 140 =
  26. 26.HCF of 120 and 135 =
  27. 27.HCF of 120 and 336 =
  28. 28.HCF of 15 and 54 =
  29. 29.HCF of 399 and 147 =
  30. 30.HCF of 100 and 90 =
  31. 31.HCF of 28 and 210 =
  32. 32.HCF of 70 and 252 =
  33. 33.HCF of 280 and 300 =
  34. 34.HCF of 221 and 78 =
  35. 35.HCF of 216 and 198 =
  36. 36.HCF of 50 and 160 =
  37. 37.HCF of 275 and 500 =
  38. 38.HCF of 12 and 8 =
  39. 39.HCF of 18 and 33 =
  40. 40.HCF of 88 and 66 =

Answer key

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

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