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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 79 · 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 16 and 24 =
  2. 2.HCF of 88 and 242 =
  3. 3.HCF of 57 and 36 =
  4. 4.HCF of 39 and 91 =
  5. 5.HCF of 150 and 475 =
  6. 6.HCF of 90 and 108 =
  7. 7.HCF of 91 and 21 =
  8. 8.HCF of 105 and 30 =
  9. 9.HCF of 368 and 69 =
  10. 10.HCF of 78 and 72 =
  11. 11.HCF of 27 and 126 =
  12. 12.HCF of 210 and 399 =
  13. 13.HCF of 72 and 54 =
  14. 14.HCF of 153 and 117 =
  15. 15.HCF of 320 and 48 =
  16. 16.HCF of 95 and 50 =
  17. 17.HCF of 253 and 368 =
  18. 18.HCF of 216 and 120 =
  19. 19.HCF of 143 and 154 =
  20. 20.HCF of 60 and 105 =
  21. 21.HCF of 182 and 221 =
  22. 22.HCF of 180 and 80 =
  23. 23.HCF of 342 and 198 =
  24. 24.HCF of 323 and 285 =
  25. 25.HCF of 24 and 78 =
  26. 26.HCF of 208 and 128 =
  27. 27.HCF of 77 and 56 =
  28. 28.HCF of 224 and 48 =
  29. 29.HCF of 190 and 323 =
  30. 30.HCF of 165 and 225 =
  31. 31.HCF of 57 and 209 =
  32. 32.HCF of 84 and 266 =
  33. 33.HCF of 192 and 208 =
  34. 34.HCF of 72 and 192 =
  35. 35.HCF of 68 and 16 =
  36. 36.HCF of 88 and 104 =
  37. 37.HCF of 195 and 30 =
  38. 38.HCF of 64 and 36 =
  39. 39.HCF of 77 and 99 =
  40. 40.HCF of 176 and 320 =

Answer key

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

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