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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 336 · 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 30 and 12 =
  2. 2.HCF of 247 and 323 =
  3. 3.HCF of 42 and 399 =
  4. 4.HCF of 45 and 35 =
  5. 5.HCF of 187 and 132 =
  6. 6.HCF of 50 and 130 =
  7. 7.HCF of 56 and 44 =
  8. 8.HCF of 252 and 266 =
  9. 9.HCF of 105 and 231 =
  10. 10.HCF of 46 and 161 =
  11. 11.HCF of 143 and 156 =
  12. 12.HCF of 72 and 30 =
  13. 13.HCF of 40 and 15 =
  14. 14.HCF of 340 and 153 =
  15. 15.HCF of 21 and 15 =
  16. 16.HCF of 161 and 92 =
  17. 17.HCF of 34 and 12 =
  18. 18.HCF of 90 and 153 =
  19. 19.HCF of 133 and 38 =
  20. 20.HCF of 42 and 102 =
  21. 21.HCF of 65 and 25 =
  22. 22.HCF of 300 and 160 =
  23. 23.HCF of 152 and 72 =
  24. 24.HCF of 20 and 55 =
  25. 25.HCF of 98 and 140 =
  26. 26.HCF of 207 and 437 =
  27. 27.HCF of 150 and 135 =
  28. 28.HCF of 45 and 255 =
  29. 29.HCF of 10 and 45 =
  30. 30.HCF of 72 and 16 =
  31. 31.HCF of 18 and 4 =
  32. 32.HCF of 180 and 168 =
  33. 33.HCF of 102 and 54 =
  34. 34.HCF of 42 and 60 =
  35. 35.HCF of 32 and 80 =
  36. 36.HCF of 368 and 253 =
  37. 37.HCF of 20 and 56 =
  38. 38.HCF of 247 and 104 =
  39. 39.HCF of 189 and 294 =
  40. 40.HCF of 280 and 300 =

Answer key

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

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