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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 109 · 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 190 and 247 =
  2. 2.HCF of 340 and 400 =
  3. 3.HCF of 100 and 65 =
  4. 4.HCF of 63 and 36 =
  5. 5.HCF of 57 and 45 =
  6. 6.HCF of 46 and 69 =
  7. 7.HCF of 195 and 104 =
  8. 8.HCF of 18 and 40 =
  9. 9.HCF of 168 and 231 =
  10. 10.HCF of 198 and 77 =
  11. 11.HCF of 112 and 104 =
  12. 12.HCF of 112 and 133 =
  13. 13.HCF of 63 and 84 =
  14. 14.HCF of 312 and 336 =
  15. 15.HCF of 40 and 60 =
  16. 16.HCF of 253 and 345 =
  17. 17.HCF of 300 and 80 =
  18. 18.HCF of 180 and 132 =
  19. 19.HCF of 38 and 8 =
  20. 20.HCF of 140 and 21 =
  21. 21.HCF of 90 and 234 =
  22. 22.HCF of 114 and 95 =
  23. 23.HCF of 56 and 70 =
  24. 24.HCF of 144 and 45 =
  25. 25.HCF of 190 and 209 =
  26. 26.HCF of 242 and 352 =
  27. 27.HCF of 72 and 16 =
  28. 28.HCF of 21 and 133 =
  29. 29.HCF of 342 and 209 =
  30. 30.HCF of 255 and 45 =
  31. 31.HCF of 357 and 63 =
  32. 32.HCF of 171 and 153 =
  33. 33.HCF of 120 and 54 =
  34. 34.HCF of 21 and 35 =
  35. 35.HCF of 220 and 187 =
  36. 36.HCF of 77 and 42 =
  37. 37.HCF of 42 and 33 =
  38. 38.HCF of 162 and 72 =
  39. 39.HCF of 14 and 119 =
  40. 40.HCF of 425 and 325 =

Answer key

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

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