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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 528 · 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 170 and 70 =
  2. 2.HCF of 112 and 77 =
  3. 3.HCF of 18 and 117 =
  4. 4.HCF of 195 and 285 =
  5. 5.HCF of 48 and 42 =
  6. 6.HCF of 15 and 39 =
  7. 7.HCF of 125 and 450 =
  8. 8.HCF of 95 and 70 =
  9. 9.HCF of 78 and 42 =
  10. 10.HCF of 57 and 12 =
  11. 11.HCF of 76 and 80 =
  12. 12.HCF of 80 and 85 =
  13. 13.HCF of 288 and 456 =
  14. 14.HCF of 345 and 161 =
  15. 15.HCF of 16 and 72 =
  16. 16.HCF of 30 and 36 =
  17. 17.HCF of 154 and 440 =
  18. 18.HCF of 15 and 35 =
  19. 19.HCF of 286 and 352 =
  20. 20.HCF of 285 and 135 =
  21. 21.HCF of 50 and 275 =
  22. 22.HCF of 40 and 35 =
  23. 23.HCF of 128 and 80 =
  24. 24.HCF of 150 and 275 =
  25. 25.HCF of 69 and 92 =
  26. 26.HCF of 152 and 72 =
  27. 27.HCF of 57 and 27 =
  28. 28.HCF of 85 and 75 =
  29. 29.HCF of 117 and 153 =
  30. 30.HCF of 18 and 21 =
  31. 31.HCF of 325 and 50 =
  32. 32.HCF of 16 and 12 =
  33. 33.HCF of 182 and 195 =
  34. 34.HCF of 75 and 500 =
  35. 35.HCF of 114 and 24 =
  36. 36.HCF of 80 and 136 =
  37. 37.HCF of 420 and 399 =
  38. 38.HCF of 56 and 152 =
  39. 39.HCF of 65 and 20 =
  40. 40.HCF of 105 and 126 =

Answer key

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

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