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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 293 · 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 45 and 150 =
  2. 2.HCF of 247 and 78 =
  3. 3.HCF of 75 and 120 =
  4. 4.HCF of 50 and 425 =
  5. 5.HCF of 75 and 135 =
  6. 6.HCF of 114 and 66 =
  7. 7.HCF of 38 and 10 =
  8. 8.HCF of 247 and 57 =
  9. 9.HCF of 56 and 48 =
  10. 10.HCF of 176 and 143 =
  11. 11.HCF of 260 and 160 =
  12. 12.HCF of 182 and 252 =
  13. 13.HCF of 252 and 162 =
  14. 14.HCF of 76 and 40 =
  15. 15.HCF of 143 and 55 =
  16. 16.HCF of 16 and 34 =
  17. 17.HCF of 50 and 325 =
  18. 18.HCF of 30 and 42 =
  19. 19.HCF of 99 and 187 =
  20. 20.HCF of 16 and 104 =
  21. 21.HCF of 42 and 70 =
  22. 22.HCF of 252 and 234 =
  23. 23.HCF of 15 and 12 =
  24. 24.HCF of 40 and 55 =
  25. 25.HCF of 126 and 357 =
  26. 26.HCF of 120 and 255 =
  27. 27.HCF of 224 and 176 =
  28. 28.HCF of 84 and 156 =
  29. 29.HCF of 228 and 48 =
  30. 30.HCF of 399 and 378 =
  31. 31.HCF of 28 and 34 =
  32. 32.HCF of 40 and 45 =
  33. 33.HCF of 75 and 250 =
  34. 34.HCF of 70 and 20 =
  35. 35.HCF of 63 and 72 =
  36. 36.HCF of 30 and 130 =
  37. 37.HCF of 18 and 42 =
  38. 38.HCF of 18 and 48 =
  39. 39.HCF of 22 and 165 =
  40. 40.HCF of 144 and 135 =

Answer key

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

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