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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 354 · 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 34 and 40 =
  2. 2.HCF of 15 and 51 =
  3. 3.HCF of 176 and 121 =
  4. 4.HCF of 306 and 324 =
  5. 5.HCF of 130 and 143 =
  6. 6.HCF of 208 and 65 =
  7. 7.HCF of 112 and 176 =
  8. 8.HCF of 154 and 132 =
  9. 9.HCF of 300 and 125 =
  10. 10.HCF of 252 and 399 =
  11. 11.HCF of 18 and 39 =
  12. 12.HCF of 108 and 102 =
  13. 13.HCF of 57 and 190 =
  14. 14.HCF of 24 and 39 =
  15. 15.HCF of 345 and 391 =
  16. 16.HCF of 26 and 10 =
  17. 17.HCF of 22 and 34 =
  18. 18.HCF of 323 and 266 =
  19. 19.HCF of 207 and 299 =
  20. 20.HCF of 70 and 252 =
  21. 21.HCF of 357 and 273 =
  22. 22.HCF of 75 and 30 =
  23. 23.HCF of 126 and 54 =
  24. 24.HCF of 57 and 27 =
  25. 25.HCF of 39 and 45 =
  26. 26.HCF of 32 and 6 =
  27. 27.HCF of 162 and 117 =
  28. 28.HCF of 234 and 108 =
  29. 29.HCF of 50 and 30 =
  30. 30.HCF of 420 and 189 =
  31. 31.HCF of 414 and 437 =
  32. 32.HCF of 88 and 198 =
  33. 33.HCF of 112 and 119 =
  34. 34.HCF of 75 and 50 =
  35. 35.HCF of 55 and 187 =
  36. 36.HCF of 51 and 12 =
  37. 37.HCF of 10 and 38 =
  38. 38.HCF of 42 and 140 =
  39. 39.HCF of 45 and 72 =
  40. 40.HCF of 168 and 266 =

Answer key

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

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