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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 718 · 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 198 and 252 =
  2. 2.HCF of 176 and 240 =
  3. 3.HCF of 207 and 460 =
  4. 4.HCF of 63 and 133 =
  5. 5.HCF of 133 and 342 =
  6. 6.HCF of 260 and 120 =
  7. 7.HCF of 120 and 144 =
  8. 8.HCF of 180 and 54 =
  9. 9.HCF of 119 and 49 =
  10. 10.HCF of 210 and 266 =
  11. 11.HCF of 380 and 140 =
  12. 12.HCF of 195 and 180 =
  13. 13.HCF of 460 and 161 =
  14. 14.HCF of 102 and 289 =
  15. 15.HCF of 220 and 60 =
  16. 16.HCF of 88 and 128 =
  17. 17.HCF of 136 and 119 =
  18. 18.HCF of 54 and 78 =
  19. 19.HCF of 450 and 475 =
  20. 20.HCF of 200 and 110 =
  21. 21.HCF of 63 and 147 =
  22. 22.HCF of 50 and 120 =
  23. 23.HCF of 247 and 260 =
  24. 24.HCF of 156 and 120 =
  25. 25.HCF of 52 and 91 =
  26. 26.HCF of 57 and 380 =
  27. 27.HCF of 55 and 66 =
  28. 28.HCF of 30 and 14 =
  29. 29.HCF of 98 and 105 =
  30. 30.HCF of 22 and 26 =
  31. 31.HCF of 126 and 270 =
  32. 32.HCF of 126 and 91 =
  33. 33.HCF of 65 and 208 =
  34. 34.HCF of 63 and 35 =
  35. 35.HCF of 132 and 168 =
  36. 36.HCF of 312 and 360 =
  37. 37.HCF of 21 and 133 =
  38. 38.HCF of 221 and 136 =
  39. 39.HCF of 40 and 128 =
  40. 40.HCF of 36 and 80 =

Answer key

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

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