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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 707 · 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 70 and 170 =
  2. 2.HCF of 180 and 80 =
  3. 3.HCF of 260 and 80 =
  4. 4.HCF of 15 and 35 =
  5. 5.HCF of 175 and 300 =
  6. 6.HCF of 80 and 256 =
  7. 7.HCF of 80 and 35 =
  8. 8.HCF of 36 and 76 =
  9. 9.HCF of 204 and 168 =
  10. 10.HCF of 242 and 44 =
  11. 11.HCF of 143 and 132 =
  12. 12.HCF of 156 and 60 =
  13. 13.HCF of 6 and 33 =
  14. 14.HCF of 119 and 187 =
  15. 15.HCF of 8 and 20 =
  16. 16.HCF of 340 and 260 =
  17. 17.HCF of 117 and 72 =
  18. 18.HCF of 105 and 147 =
  19. 19.HCF of 108 and 102 =
  20. 20.HCF of 80 and 30 =
  21. 21.HCF of 50 and 55 =
  22. 22.HCF of 325 and 150 =
  23. 23.HCF of 48 and 54 =
  24. 24.HCF of 247 and 380 =
  25. 25.HCF of 78 and 221 =
  26. 26.HCF of 182 and 221 =
  27. 27.HCF of 49 and 56 =
  28. 28.HCF of 4 and 10 =
  29. 29.HCF of 360 and 380 =
  30. 30.HCF of 84 and 63 =
  31. 31.HCF of 27 and 48 =
  32. 32.HCF of 126 and 119 =
  33. 33.HCF of 100 and 30 =
  34. 34.HCF of 56 and 126 =
  35. 35.HCF of 475 and 100 =
  36. 36.HCF of 65 and 156 =
  37. 37.HCF of 63 and 90 =
  38. 38.HCF of 140 and 130 =
  39. 39.HCF of 10 and 35 =
  40. 40.HCF of 288 and 234 =

Answer key

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

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