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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 818 · 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 475 and 175 =
  2. 2.HCF of 34 and 40 =
  3. 3.HCF of 114 and 30 =
  4. 4.HCF of 204 and 221 =
  5. 5.HCF of 39 and 12 =
  6. 6.HCF of 140 and 340 =
  7. 7.HCF of 88 and 24 =
  8. 8.HCF of 136 and 153 =
  9. 9.HCF of 144 and 320 =
  10. 10.HCF of 308 and 330 =
  11. 11.HCF of 242 and 132 =
  12. 12.HCF of 414 and 115 =
  13. 13.HCF of 24 and 228 =
  14. 14.HCF of 144 and 312 =
  15. 15.HCF of 20 and 68 =
  16. 16.HCF of 18 and 51 =
  17. 17.HCF of 40 and 380 =
  18. 18.HCF of 220 and 121 =
  19. 19.HCF of 357 and 420 =
  20. 20.HCF of 208 and 80 =
  21. 21.HCF of 320 and 208 =
  22. 22.HCF of 253 and 299 =
  23. 23.HCF of 345 and 253 =
  24. 24.HCF of 408 and 72 =
  25. 25.HCF of 55 and 80 =
  26. 26.HCF of 24 and 64 =
  27. 27.HCF of 120 and 45 =
  28. 28.HCF of 45 and 162 =
  29. 29.HCF of 270 and 306 =
  30. 30.HCF of 208 and 96 =
  31. 31.HCF of 28 and 35 =
  32. 32.HCF of 68 and 48 =
  33. 33.HCF of 42 and 77 =
  34. 34.HCF of 105 and 63 =
  35. 35.HCF of 120 and 136 =
  36. 36.HCF of 160 and 24 =
  37. 37.HCF of 108 and 120 =
  38. 38.HCF of 21 and 56 =
  39. 39.HCF of 323 and 133 =
  40. 40.HCF of 25 and 30 =

Answer key

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

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