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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 190 · 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 312 and 168 =
  2. 2.HCF of 312 and 288 =
  3. 3.HCF of 198 and 220 =
  4. 4.HCF of 108 and 78 =
  5. 5.HCF of 136 and 144 =
  6. 6.HCF of 72 and 56 =
  7. 7.HCF of 133 and 56 =
  8. 8.HCF of 105 and 285 =
  9. 9.HCF of 30 and 28 =
  10. 10.HCF of 136 and 112 =
  11. 11.HCF of 105 and 98 =
  12. 12.HCF of 208 and 221 =
  13. 13.HCF of 99 and 162 =
  14. 14.HCF of 119 and 340 =
  15. 15.HCF of 138 and 437 =
  16. 16.HCF of 112 and 48 =
  17. 17.HCF of 10 and 24 =
  18. 18.HCF of 14 and 119 =
  19. 19.HCF of 88 and 128 =
  20. 20.HCF of 14 and 21 =
  21. 21.HCF of 198 and 72 =
  22. 22.HCF of 20 and 190 =
  23. 23.HCF of 40 and 130 =
  24. 24.HCF of 108 and 114 =
  25. 25.HCF of 125 and 200 =
  26. 26.HCF of 22 and 121 =
  27. 27.HCF of 6 and 8 =
  28. 28.HCF of 115 and 69 =
  29. 29.HCF of 154 and 182 =
  30. 30.HCF of 42 and 27 =
  31. 31.HCF of 77 and 42 =
  32. 32.HCF of 304 and 32 =
  33. 33.HCF of 192 and 304 =
  34. 34.HCF of 52 and 20 =
  35. 35.HCF of 40 and 65 =
  36. 36.HCF of 48 and 15 =
  37. 37.HCF of 192 and 360 =
  38. 38.HCF of 190 and 160 =
  39. 39.HCF of 90 and 66 =
  40. 40.HCF of 16 and 88 =

Answer key

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

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