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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 750 · 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 285 =
  2. 2.HCF of 105 and 147 =
  3. 3.HCF of 161 and 460 =
  4. 4.HCF of 225 and 60 =
  5. 5.HCF of 52 and 56 =
  6. 6.HCF of 90 and 96 =
  7. 7.HCF of 22 and 12 =
  8. 8.HCF of 90 and 108 =
  9. 9.HCF of 299 and 437 =
  10. 10.HCF of 391 and 115 =
  11. 11.HCF of 72 and 66 =
  12. 12.HCF of 176 and 224 =
  13. 13.HCF of 80 and 150 =
  14. 14.HCF of 196 and 238 =
  15. 15.HCF of 14 and 40 =
  16. 16.HCF of 225 and 500 =
  17. 17.HCF of 34 and 24 =
  18. 18.HCF of 152 and 57 =
  19. 19.HCF of 119 and 289 =
  20. 20.HCF of 14 and 133 =
  21. 21.HCF of 72 and 56 =
  22. 22.HCF of 135 and 72 =
  23. 23.HCF of 240 and 195 =
  24. 24.HCF of 35 and 30 =
  25. 25.HCF of 40 and 104 =
  26. 26.HCF of 48 and 320 =
  27. 27.HCF of 208 and 247 =
  28. 28.HCF of 247 and 91 =
  29. 29.HCF of 104 and 91 =
  30. 30.HCF of 72 and 342 =
  31. 31.HCF of 475 and 50 =
  32. 32.HCF of 114 and 84 =
  33. 33.HCF of 323 and 102 =
  34. 34.HCF of 210 and 255 =
  35. 35.HCF of 21 and 77 =
  36. 36.HCF of 52 and 48 =
  37. 37.HCF of 238 and 280 =
  38. 38.HCF of 171 and 133 =
  39. 39.HCF of 46 and 207 =
  40. 40.HCF of 231 and 399 =

Answer key

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

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