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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 84 · 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 285 =
  2. 2.HCF of 32 and 22 =
  3. 3.HCF of 90 and 165 =
  4. 4.HCF of 24 and 136 =
  5. 5.HCF of 110 and 176 =
  6. 6.HCF of 150 and 105 =
  7. 7.HCF of 91 and 21 =
  8. 8.HCF of 70 and 266 =
  9. 9.HCF of 51 and 57 =
  10. 10.HCF of 391 and 460 =
  11. 11.HCF of 90 and 216 =
  12. 12.HCF of 140 and 200 =
  13. 13.HCF of 56 and 182 =
  14. 14.HCF of 119 and 91 =
  15. 15.HCF of 153 and 162 =
  16. 16.HCF of 126 and 45 =
  17. 17.HCF of 80 and 100 =
  18. 18.HCF of 100 and 130 =
  19. 19.HCF of 45 and 195 =
  20. 20.HCF of 42 and 54 =
  21. 21.HCF of 275 and 250 =
  22. 22.HCF of 176 and 208 =
  23. 23.HCF of 60 and 50 =
  24. 24.HCF of 135 and 30 =
  25. 25.HCF of 100 and 260 =
  26. 26.HCF of 160 and 144 =
  27. 27.HCF of 28 and 266 =
  28. 28.HCF of 60 and 8 =
  29. 29.HCF of 63 and 14 =
  30. 30.HCF of 78 and 143 =
  31. 31.HCF of 90 and 153 =
  32. 32.HCF of 88 and 154 =
  33. 33.HCF of 168 and 315 =
  34. 34.HCF of 48 and 152 =
  35. 35.HCF of 105 and 49 =
  36. 36.HCF of 45 and 150 =
  37. 37.HCF of 170 and 153 =
  38. 38.HCF of 198 and 77 =
  39. 39.HCF of 375 and 425 =
  40. 40.HCF of 75 and 500 =

Answer key

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

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