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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 699 · 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 98 and 105 =
  2. 2.HCF of 132 and 156 =
  3. 3.HCF of 169 and 52 =
  4. 4.HCF of 54 and 126 =
  5. 5.HCF of 391 and 345 =
  6. 6.HCF of 30 and 48 =
  7. 7.HCF of 286 and 154 =
  8. 8.HCF of 12 and 14 =
  9. 9.HCF of 357 and 399 =
  10. 10.HCF of 69 and 299 =
  11. 11.HCF of 108 and 126 =
  12. 12.HCF of 273 and 105 =
  13. 13.HCF of 247 and 95 =
  14. 14.HCF of 84 and 105 =
  15. 15.HCF of 8 and 14 =
  16. 16.HCF of 275 and 50 =
  17. 17.HCF of 35 and 42 =
  18. 18.HCF of 66 and 88 =
  19. 19.HCF of 85 and 20 =
  20. 20.HCF of 325 and 500 =
  21. 21.HCF of 70 and 224 =
  22. 22.HCF of 175 and 50 =
  23. 23.HCF of 147 and 105 =
  24. 24.HCF of 48 and 114 =
  25. 25.HCF of 300 and 45 =
  26. 26.HCF of 208 and 176 =
  27. 27.HCF of 68 and 24 =
  28. 28.HCF of 180 and 260 =
  29. 29.HCF of 425 and 375 =
  30. 30.HCF of 189 and 399 =
  31. 31.HCF of 75 and 425 =
  32. 32.HCF of 18 and 102 =
  33. 33.HCF of 112 and 72 =
  34. 34.HCF of 38 and 36 =
  35. 35.HCF of 51 and 289 =
  36. 36.HCF of 330 and 44 =
  37. 37.HCF of 143 and 221 =
  38. 38.HCF of 270 and 72 =
  39. 39.HCF of 117 and 260 =
  40. 40.HCF of 380 and 209 =

Answer key

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

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