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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 638 · 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 114 and 60 =
  2. 2.HCF of 154 and 224 =
  3. 3.HCF of 132 and 228 =
  4. 4.HCF of 9 and 24 =
  5. 5.HCF of 72 and 312 =
  6. 6.HCF of 399 and 315 =
  7. 7.HCF of 108 and 42 =
  8. 8.HCF of 18 and 84 =
  9. 9.HCF of 112 and 42 =
  10. 10.HCF of 56 and 21 =
  11. 11.HCF of 8 and 30 =
  12. 12.HCF of 234 and 91 =
  13. 13.HCF of 12 and 15 =
  14. 14.HCF of 26 and 65 =
  15. 15.HCF of 50 and 75 =
  16. 16.HCF of 150 and 425 =
  17. 17.HCF of 35 and 15 =
  18. 18.HCF of 240 and 75 =
  19. 19.HCF of 304 and 171 =
  20. 20.HCF of 55 and 44 =
  21. 21.HCF of 324 and 234 =
  22. 22.HCF of 85 and 10 =
  23. 23.HCF of 72 and 90 =
  24. 24.HCF of 30 and 48 =
  25. 25.HCF of 105 and 168 =
  26. 26.HCF of 189 and 273 =
  27. 27.HCF of 63 and 27 =
  28. 28.HCF of 156 and 132 =
  29. 29.HCF of 52 and 40 =
  30. 30.HCF of 253 and 69 =
  31. 31.HCF of 57 and 60 =
  32. 32.HCF of 10 and 95 =
  33. 33.HCF of 361 and 95 =
  34. 34.HCF of 36 and 117 =
  35. 35.HCF of 120 and 16 =
  36. 36.HCF of 209 and 44 =
  37. 37.HCF of 165 and 210 =
  38. 38.HCF of 357 and 336 =
  39. 39.HCF of 10 and 24 =
  40. 40.HCF of 306 and 252 =

Answer key

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

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