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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 569 · 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 51 and 238 =
  2. 2.HCF of 119 and 102 =
  3. 3.HCF of 18 and 15 =
  4. 4.HCF of 39 and 48 =
  5. 5.HCF of 275 and 75 =
  6. 6.HCF of 152 and 88 =
  7. 7.HCF of 104 and 40 =
  8. 8.HCF of 54 and 360 =
  9. 9.HCF of 136 and 48 =
  10. 10.HCF of 161 and 230 =
  11. 11.HCF of 77 and 105 =
  12. 12.HCF of 153 and 90 =
  13. 13.HCF of 221 and 52 =
  14. 14.HCF of 456 and 192 =
  15. 15.HCF of 57 and 60 =
  16. 16.HCF of 8 and 12 =
  17. 17.HCF of 30 and 20 =
  18. 18.HCF of 112 and 32 =
  19. 19.HCF of 36 and 22 =
  20. 20.HCF of 180 and 99 =
  21. 21.HCF of 18 and 48 =
  22. 22.HCF of 20 and 52 =
  23. 23.HCF of 216 and 192 =
  24. 24.HCF of 56 and 88 =
  25. 25.HCF of 60 and 32 =
  26. 26.HCF of 120 and 216 =
  27. 27.HCF of 198 and 176 =
  28. 28.HCF of 150 and 475 =
  29. 29.HCF of 6 and 57 =
  30. 30.HCF of 8 and 38 =
  31. 31.HCF of 180 and 24 =
  32. 32.HCF of 320 and 144 =
  33. 33.HCF of 216 and 156 =
  34. 34.HCF of 40 and 112 =
  35. 35.HCF of 42 and 98 =
  36. 36.HCF of 21 and 91 =
  37. 37.HCF of 144 and 198 =
  38. 38.HCF of 136 and 32 =
  39. 39.HCF of 128 and 112 =
  40. 40.HCF of 48 and 208 =

Answer key

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

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