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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 841 · 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 275 and 150 =
  2. 2.HCF of 304 and 48 =
  3. 3.HCF of 418 and 66 =
  4. 4.HCF of 22 and 18 =
  5. 5.HCF of 24 and 160 =
  6. 6.HCF of 117 and 143 =
  7. 7.HCF of 21 and 24 =
  8. 8.HCF of 380 and 240 =
  9. 9.HCF of 49 and 91 =
  10. 10.HCF of 336 and 231 =
  11. 11.HCF of 361 and 266 =
  12. 12.HCF of 187 and 55 =
  13. 13.HCF of 20 and 14 =
  14. 14.HCF of 120 and 112 =
  15. 15.HCF of 323 and 238 =
  16. 16.HCF of 165 and 154 =
  17. 17.HCF of 24 and 80 =
  18. 18.HCF of 456 and 120 =
  19. 19.HCF of 196 and 182 =
  20. 20.HCF of 28 and 210 =
  21. 21.HCF of 115 and 69 =
  22. 22.HCF of 30 and 18 =
  23. 23.HCF of 460 and 299 =
  24. 24.HCF of 342 and 288 =
  25. 25.HCF of 15 and 24 =
  26. 26.HCF of 96 and 84 =
  27. 27.HCF of 285 and 152 =
  28. 28.HCF of 144 and 88 =
  29. 29.HCF of 180 and 220 =
  30. 30.HCF of 320 and 60 =
  31. 31.HCF of 207 and 161 =
  32. 32.HCF of 238 and 112 =
  33. 33.HCF of 460 and 207 =
  34. 34.HCF of 120 and 380 =
  35. 35.HCF of 273 and 378 =
  36. 36.HCF of 42 and 54 =
  37. 37.HCF of 384 and 264 =
  38. 38.HCF of 60 and 165 =
  39. 39.HCF of 9 and 24 =
  40. 40.HCF of 105 and 300 =

Answer key

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

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