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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 108 · 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 75 and 90 =
  2. 2.HCF of 44 and 8 =
  3. 3.HCF of 342 and 133 =
  4. 4.HCF of 198 and 324 =
  5. 5.HCF of 26 and 221 =
  6. 6.HCF of 27 and 117 =
  7. 7.HCF of 128 and 72 =
  8. 8.HCF of 340 and 200 =
  9. 9.HCF of 48 and 120 =
  10. 10.HCF of 88 and 165 =
  11. 11.HCF of 209 and 143 =
  12. 12.HCF of 130 and 170 =
  13. 13.HCF of 95 and 20 =
  14. 14.HCF of 42 and 108 =
  15. 15.HCF of 15 and 12 =
  16. 16.HCF of 63 and 14 =
  17. 17.HCF of 32 and 52 =
  18. 18.HCF of 12 and 8 =
  19. 19.HCF of 160 and 48 =
  20. 20.HCF of 312 and 144 =
  21. 21.HCF of 48 and 33 =
  22. 22.HCF of 306 and 90 =
  23. 23.HCF of 210 and 165 =
  24. 24.HCF of 180 and 234 =
  25. 25.HCF of 65 and 35 =
  26. 26.HCF of 135 and 240 =
  27. 27.HCF of 342 and 323 =
  28. 28.HCF of 273 and 315 =
  29. 29.HCF of 128 and 24 =
  30. 30.HCF of 12 and 30 =
  31. 31.HCF of 210 and 98 =
  32. 32.HCF of 266 and 209 =
  33. 33.HCF of 112 and 208 =
  34. 34.HCF of 40 and 340 =
  35. 35.HCF of 24 and 68 =
  36. 36.HCF of 45 and 35 =
  37. 37.HCF of 252 and 162 =
  38. 38.HCF of 68 and 44 =
  39. 39.HCF of 40 and 55 =
  40. 40.HCF of 361 and 133 =

Answer key

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

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