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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 743 · 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 210 and 135 =
  2. 2.HCF of 112 and 21 =
  3. 3.HCF of 34 and 38 =
  4. 4.HCF of 33 and 57 =
  5. 5.HCF of 16 and 52 =
  6. 6.HCF of 165 and 135 =
  7. 7.HCF of 147 and 420 =
  8. 8.HCF of 304 and 209 =
  9. 9.HCF of 8 and 14 =
  10. 10.HCF of 143 and 99 =
  11. 11.HCF of 88 and 72 =
  12. 12.HCF of 99 and 63 =
  13. 13.HCF of 165 and 90 =
  14. 14.HCF of 6 and 22 =
  15. 15.HCF of 76 and 323 =
  16. 16.HCF of 306 and 342 =
  17. 17.HCF of 38 and 57 =
  18. 18.HCF of 189 and 231 =
  19. 19.HCF of 312 and 288 =
  20. 20.HCF of 152 and 361 =
  21. 21.HCF of 22 and 36 =
  22. 22.HCF of 170 and 51 =
  23. 23.HCF of 340 and 100 =
  24. 24.HCF of 6 and 10 =
  25. 25.HCF of 66 and 54 =
  26. 26.HCF of 72 and 162 =
  27. 27.HCF of 143 and 121 =
  28. 28.HCF of 105 and 252 =
  29. 29.HCF of 36 and 78 =
  30. 30.HCF of 198 and 242 =
  31. 31.HCF of 66 and 418 =
  32. 32.HCF of 207 and 299 =
  33. 33.HCF of 160 and 170 =
  34. 34.HCF of 40 and 152 =
  35. 35.HCF of 30 and 78 =
  36. 36.HCF of 112 and 304 =
  37. 37.HCF of 77 and 14 =
  38. 38.HCF of 32 and 12 =
  39. 39.HCF of 228 and 120 =
  40. 40.HCF of 234 and 324 =

Answer key

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

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