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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 749 · 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 153 and 27 =
  2. 2.HCF of 175 and 425 =
  3. 3.HCF of 44 and 66 =
  4. 4.HCF of 135 and 144 =
  5. 5.HCF of 48 and 28 =
  6. 6.HCF of 33 and 55 =
  7. 7.HCF of 169 and 65 =
  8. 8.HCF of 70 and 170 =
  9. 9.HCF of 128 and 24 =
  10. 10.HCF of 100 and 425 =
  11. 11.HCF of 156 and 36 =
  12. 12.HCF of 51 and 119 =
  13. 13.HCF of 39 and 182 =
  14. 14.HCF of 152 and 56 =
  15. 15.HCF of 408 and 96 =
  16. 16.HCF of 238 and 255 =
  17. 17.HCF of 209 and 171 =
  18. 18.HCF of 175 and 100 =
  19. 19.HCF of 55 and 33 =
  20. 20.HCF of 475 and 50 =
  21. 21.HCF of 152 and 247 =
  22. 22.HCF of 18 and 99 =
  23. 23.HCF of 52 and 36 =
  24. 24.HCF of 12 and 102 =
  25. 25.HCF of 323 and 272 =
  26. 26.HCF of 51 and 34 =
  27. 27.HCF of 45 and 50 =
  28. 28.HCF of 6 and 39 =
  29. 29.HCF of 66 and 44 =
  30. 30.HCF of 72 and 96 =
  31. 31.HCF of 120 and 128 =
  32. 32.HCF of 289 and 153 =
  33. 33.HCF of 72 and 32 =
  34. 34.HCF of 95 and 25 =
  35. 35.HCF of 231 and 63 =
  36. 36.HCF of 4 and 6 =
  37. 37.HCF of 306 and 119 =
  38. 38.HCF of 154 and 280 =
  39. 39.HCF of 54 and 198 =
  40. 40.HCF of 80 and 340 =

Answer key

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

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