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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 192 · 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 72 and 120 =
  2. 2.HCF of 105 and 112 =
  3. 3.HCF of 156 and 221 =
  4. 4.HCF of 34 and 10 =
  5. 5.HCF of 169 and 52 =
  6. 6.HCF of 85 and 323 =
  7. 7.HCF of 8 and 76 =
  8. 8.HCF of 36 and 126 =
  9. 9.HCF of 68 and 51 =
  10. 10.HCF of 221 and 117 =
  11. 11.HCF of 126 and 180 =
  12. 12.HCF of 15 and 25 =
  13. 13.HCF of 64 and 40 =
  14. 14.HCF of 70 and 45 =
  15. 15.HCF of 378 and 399 =
  16. 16.HCF of 65 and 169 =
  17. 17.HCF of 48 and 64 =
  18. 18.HCF of 224 and 208 =
  19. 19.HCF of 85 and 10 =
  20. 20.HCF of 160 and 140 =
  21. 21.HCF of 273 and 252 =
  22. 22.HCF of 18 and 42 =
  23. 23.HCF of 88 and 16 =
  24. 24.HCF of 170 and 200 =
  25. 25.HCF of 196 and 266 =
  26. 26.HCF of 120 and 50 =
  27. 27.HCF of 136 and 32 =
  28. 28.HCF of 112 and 72 =
  29. 29.HCF of 90 and 72 =
  30. 30.HCF of 380 and 340 =
  31. 31.HCF of 132 and 36 =
  32. 32.HCF of 10 and 18 =
  33. 33.HCF of 208 and 39 =
  34. 34.HCF of 34 and 51 =
  35. 35.HCF of 242 and 154 =
  36. 36.HCF of 209 and 22 =
  37. 37.HCF of 38 and 6 =
  38. 38.HCF of 256 and 304 =
  39. 39.HCF of 264 and 240 =
  40. 40.HCF of 56 and 72 =

Answer key

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

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