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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 298 · 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 121 and 220 =
  2. 2.HCF of 45 and 144 =
  3. 3.HCF of 140 and 120 =
  4. 4.HCF of 44 and 24 =
  5. 5.HCF of 54 and 120 =
  6. 6.HCF of 108 and 66 =
  7. 7.HCF of 144 and 456 =
  8. 8.HCF of 95 and 171 =
  9. 9.HCF of 21 and 18 =
  10. 10.HCF of 324 and 198 =
  11. 11.HCF of 119 and 102 =
  12. 12.HCF of 391 and 115 =
  13. 13.HCF of 90 and 102 =
  14. 14.HCF of 209 and 114 =
  15. 15.HCF of 456 and 48 =
  16. 16.HCF of 65 and 40 =
  17. 17.HCF of 247 and 171 =
  18. 18.HCF of 56 and 238 =
  19. 19.HCF of 150 and 275 =
  20. 20.HCF of 198 and 180 =
  21. 21.HCF of 80 and 100 =
  22. 22.HCF of 266 and 56 =
  23. 23.HCF of 104 and 247 =
  24. 24.HCF of 30 and 9 =
  25. 25.HCF of 15 and 35 =
  26. 26.HCF of 160 and 260 =
  27. 27.HCF of 60 and 255 =
  28. 28.HCF of 21 and 39 =
  29. 29.HCF of 16 and 88 =
  30. 30.HCF of 39 and 60 =
  31. 31.HCF of 88 and 24 =
  32. 32.HCF of 408 and 288 =
  33. 33.HCF of 76 and 171 =
  34. 34.HCF of 399 and 210 =
  35. 35.HCF of 304 and 285 =
  36. 36.HCF of 255 and 90 =
  37. 37.HCF of 42 and 147 =
  38. 38.HCF of 180 and 132 =
  39. 39.HCF of 168 and 108 =
  40. 40.HCF of 10 and 22 =

Answer key

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

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