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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 243 · 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 110 and 130 =
  2. 2.HCF of 66 and 44 =
  3. 3.HCF of 456 and 408 =
  4. 4.HCF of 28 and 8 =
  5. 5.HCF of 180 and 342 =
  6. 6.HCF of 140 and 133 =
  7. 7.HCF of 378 and 357 =
  8. 8.HCF of 135 and 117 =
  9. 9.HCF of 36 and 153 =
  10. 10.HCF of 64 and 136 =
  11. 11.HCF of 68 and 51 =
  12. 12.HCF of 165 and 60 =
  13. 13.HCF of 196 and 154 =
  14. 14.HCF of 20 and 25 =
  15. 15.HCF of 78 and 143 =
  16. 16.HCF of 14 and 20 =
  17. 17.HCF of 100 and 40 =
  18. 18.HCF of 184 and 345 =
  19. 19.HCF of 76 and 8 =
  20. 20.HCF of 289 and 136 =
  21. 21.HCF of 40 and 130 =
  22. 22.HCF of 252 and 306 =
  23. 23.HCF of 286 and 44 =
  24. 24.HCF of 12 and 64 =
  25. 25.HCF of 100 and 320 =
  26. 26.HCF of 144 and 171 =
  27. 27.HCF of 42 and 399 =
  28. 28.HCF of 119 and 340 =
  29. 29.HCF of 300 and 45 =
  30. 30.HCF of 342 and 247 =
  31. 31.HCF of 8 and 44 =
  32. 32.HCF of 22 and 143 =
  33. 33.HCF of 342 and 72 =
  34. 34.HCF of 323 and 361 =
  35. 35.HCF of 88 and 66 =
  36. 36.HCF of 18 and 8 =
  37. 37.HCF of 28 and 126 =
  38. 38.HCF of 418 and 374 =
  39. 39.HCF of 432 and 168 =
  40. 40.HCF of 100 and 175 =

Answer key

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

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