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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 369 · 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 133 and 21 =
  2. 2.HCF of 342 and 108 =
  3. 3.HCF of 42 and 45 =
  4. 4.HCF of 80 and 140 =
  5. 5.HCF of 112 and 272 =
  6. 6.HCF of 399 and 126 =
  7. 7.HCF of 36 and 14 =
  8. 8.HCF of 170 and 289 =
  9. 9.HCF of 40 and 50 =
  10. 10.HCF of 133 and 21 =
  11. 11.HCF of 76 and 80 =
  12. 12.HCF of 175 and 200 =
  13. 13.HCF of 63 and 84 =
  14. 14.HCF of 120 and 312 =
  15. 15.HCF of 200 and 140 =
  16. 16.HCF of 220 and 242 =
  17. 17.HCF of 84 and 231 =
  18. 18.HCF of 156 and 72 =
  19. 19.HCF of 91 and 63 =
  20. 20.HCF of 221 and 78 =
  21. 21.HCF of 66 and 114 =
  22. 22.HCF of 144 and 60 =
  23. 23.HCF of 65 and 40 =
  24. 24.HCF of 220 and 33 =
  25. 25.HCF of 152 and 136 =
  26. 26.HCF of 169 and 143 =
  27. 27.HCF of 198 and 162 =
  28. 28.HCF of 15 and 12 =
  29. 29.HCF of 90 and 65 =
  30. 30.HCF of 10 and 15 =
  31. 31.HCF of 56 and 21 =
  32. 32.HCF of 18 and 57 =
  33. 33.HCF of 60 and 216 =
  34. 34.HCF of 77 and 49 =
  35. 35.HCF of 33 and 21 =
  36. 36.HCF of 420 and 189 =
  37. 37.HCF of 190 and 247 =
  38. 38.HCF of 65 and 104 =
  39. 39.HCF of 30 and 55 =
  40. 40.HCF of 56 and 35 =

Answer key

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

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