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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 857 · 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 77 and 140 =
  2. 2.HCF of 44 and 121 =
  3. 3.HCF of 66 and 72 =
  4. 4.HCF of 70 and 20 =
  5. 5.HCF of 36 and 228 =
  6. 6.HCF of 88 and 32 =
  7. 7.HCF of 24 and 160 =
  8. 8.HCF of 38 and 14 =
  9. 9.HCF of 253 and 115 =
  10. 10.HCF of 408 and 192 =
  11. 11.HCF of 140 and 126 =
  12. 12.HCF of 165 and 225 =
  13. 13.HCF of 28 and 36 =
  14. 14.HCF of 200 and 180 =
  15. 15.HCF of 152 and 361 =
  16. 16.HCF of 12 and 28 =
  17. 17.HCF of 52 and 68 =
  18. 18.HCF of 260 and 39 =
  19. 19.HCF of 325 and 150 =
  20. 20.HCF of 32 and 72 =
  21. 21.HCF of 266 and 168 =
  22. 22.HCF of 165 and 150 =
  23. 23.HCF of 135 and 255 =
  24. 24.HCF of 399 and 294 =
  25. 25.HCF of 24 and 64 =
  26. 26.HCF of 9 and 12 =
  27. 27.HCF of 209 and 323 =
  28. 28.HCF of 38 and 285 =
  29. 29.HCF of 288 and 126 =
  30. 30.HCF of 300 and 340 =
  31. 31.HCF of 72 and 88 =
  32. 32.HCF of 18 and 135 =
  33. 33.HCF of 153 and 63 =
  34. 34.HCF of 4 and 6 =
  35. 35.HCF of 21 and 119 =
  36. 36.HCF of 120 and 110 =
  37. 37.HCF of 104 and 72 =
  38. 38.HCF of 105 and 98 =
  39. 39.HCF of 299 and 276 =
  40. 40.HCF of 38 and 28 =

Answer key

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

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