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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 338 · 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 35 and 65 =
  2. 2.HCF of 72 and 136 =
  3. 3.HCF of 98 and 154 =
  4. 4.HCF of 224 and 80 =
  5. 5.HCF of 342 and 36 =
  6. 6.HCF of 42 and 27 =
  7. 7.HCF of 33 and 22 =
  8. 8.HCF of 322 and 345 =
  9. 9.HCF of 165 and 143 =
  10. 10.HCF of 56 and 49 =
  11. 11.HCF of 375 and 100 =
  12. 12.HCF of 437 and 322 =
  13. 13.HCF of 6 and 26 =
  14. 14.HCF of 234 and 162 =
  15. 15.HCF of 132 and 143 =
  16. 16.HCF of 216 and 156 =
  17. 17.HCF of 54 and 180 =
  18. 18.HCF of 46 and 69 =
  19. 19.HCF of 192 and 408 =
  20. 20.HCF of 238 and 323 =
  21. 21.HCF of 85 and 102 =
  22. 22.HCF of 60 and 105 =
  23. 23.HCF of 98 and 280 =
  24. 24.HCF of 360 and 140 =
  25. 25.HCF of 270 and 198 =
  26. 26.HCF of 12 and 78 =
  27. 27.HCF of 15 and 21 =
  28. 28.HCF of 48 and 15 =
  29. 29.HCF of 126 and 180 =
  30. 30.HCF of 399 and 378 =
  31. 31.HCF of 112 and 32 =
  32. 32.HCF of 28 and 21 =
  33. 33.HCF of 14 and 105 =
  34. 34.HCF of 42 and 27 =
  35. 35.HCF of 39 and 182 =
  36. 36.HCF of 22 and 14 =
  37. 37.HCF of 38 and 18 =
  38. 38.HCF of 117 and 126 =
  39. 39.HCF of 60 and 66 =
  40. 40.HCF of 60 and 48 =

Answer key

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

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