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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 487 · 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 48 and 18 =
  2. 2.HCF of 198 and 352 =
  3. 3.HCF of 90 and 72 =
  4. 4.HCF of 231 and 273 =
  5. 5.HCF of 63 and 56 =
  6. 6.HCF of 299 and 69 =
  7. 7.HCF of 88 and 154 =
  8. 8.HCF of 85 and 238 =
  9. 9.HCF of 12 and 27 =
  10. 10.HCF of 72 and 60 =
  11. 11.HCF of 208 and 96 =
  12. 12.HCF of 77 and 143 =
  13. 13.HCF of 14 and 38 =
  14. 14.HCF of 56 and 152 =
  15. 15.HCF of 60 and 44 =
  16. 16.HCF of 210 and 28 =
  17. 17.HCF of 221 and 260 =
  18. 18.HCF of 104 and 160 =
  19. 19.HCF of 80 and 192 =
  20. 20.HCF of 24 and 30 =
  21. 21.HCF of 33 and 48 =
  22. 22.HCF of 91 and 117 =
  23. 23.HCF of 38 and 32 =
  24. 24.HCF of 105 and 135 =
  25. 25.HCF of 270 and 195 =
  26. 26.HCF of 15 and 42 =
  27. 27.HCF of 12 and 9 =
  28. 28.HCF of 144 and 117 =
  29. 29.HCF of 48 and 136 =
  30. 30.HCF of 8 and 44 =
  31. 31.HCF of 44 and 72 =
  32. 32.HCF of 40 and 32 =
  33. 33.HCF of 56 and 63 =
  34. 34.HCF of 140 and 160 =
  35. 35.HCF of 189 and 42 =
  36. 36.HCF of 34 and 153 =
  37. 37.HCF of 320 and 380 =
  38. 38.HCF of 153 and 81 =
  39. 39.HCF of 36 and 306 =
  40. 40.HCF of 32 and 144 =

Answer key

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

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