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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 148 · 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 425 and 400 =
  2. 2.HCF of 323 and 304 =
  3. 3.HCF of 140 and 49 =
  4. 4.HCF of 264 and 168 =
  5. 5.HCF of 384 and 72 =
  6. 6.HCF of 48 and 120 =
  7. 7.HCF of 180 and 63 =
  8. 8.HCF of 119 and 204 =
  9. 9.HCF of 115 and 276 =
  10. 10.HCF of 4 and 6 =
  11. 11.HCF of 253 and 391 =
  12. 12.HCF of 20 and 30 =
  13. 13.HCF of 96 and 264 =
  14. 14.HCF of 21 and 30 =
  15. 15.HCF of 52 and 143 =
  16. 16.HCF of 144 and 56 =
  17. 17.HCF of 135 and 63 =
  18. 18.HCF of 169 and 195 =
  19. 19.HCF of 247 and 78 =
  20. 20.HCF of 112 and 98 =
  21. 21.HCF of 144 and 320 =
  22. 22.HCF of 169 and 156 =
  23. 23.HCF of 209 and 132 =
  24. 24.HCF of 28 and 182 =
  25. 25.HCF of 63 and 273 =
  26. 26.HCF of 100 and 30 =
  27. 27.HCF of 128 and 120 =
  28. 28.HCF of 132 and 77 =
  29. 29.HCF of 418 and 242 =
  30. 30.HCF of 208 and 39 =
  31. 31.HCF of 176 and 330 =
  32. 32.HCF of 46 and 161 =
  33. 33.HCF of 126 and 49 =
  34. 34.HCF of 56 and 80 =
  35. 35.HCF of 304 and 285 =
  36. 36.HCF of 114 and 48 =
  37. 37.HCF of 234 and 72 =
  38. 38.HCF of 180 and 75 =
  39. 39.HCF of 209 and 121 =
  40. 40.HCF of 285 and 90 =

Answer key

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

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