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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 621 · 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 10 and 6 =
  2. 2.HCF of 80 and 100 =
  3. 3.HCF of 25 and 15 =
  4. 4.HCF of 48 and 32 =
  5. 5.HCF of 66 and 72 =
  6. 6.HCF of 55 and 22 =
  7. 7.HCF of 75 and 45 =
  8. 8.HCF of 350 and 125 =
  9. 9.HCF of 253 and 437 =
  10. 10.HCF of 54 and 180 =
  11. 11.HCF of 55 and 15 =
  12. 12.HCF of 64 and 304 =
  13. 13.HCF of 323 and 361 =
  14. 14.HCF of 342 and 133 =
  15. 15.HCF of 32 and 304 =
  16. 16.HCF of 22 and 4 =
  17. 17.HCF of 36 and 52 =
  18. 18.HCF of 52 and 143 =
  19. 19.HCF of 44 and 52 =
  20. 20.HCF of 285 and 135 =
  21. 21.HCF of 12 and 32 =
  22. 22.HCF of 300 and 175 =
  23. 23.HCF of 72 and 234 =
  24. 24.HCF of 88 and 154 =
  25. 25.HCF of 221 and 306 =
  26. 26.HCF of 264 and 456 =
  27. 27.HCF of 255 and 30 =
  28. 28.HCF of 220 and 40 =
  29. 29.HCF of 276 and 437 =
  30. 30.HCF of 128 and 24 =
  31. 31.HCF of 138 and 161 =
  32. 32.HCF of 90 and 36 =
  33. 33.HCF of 384 and 312 =
  34. 34.HCF of 180 and 168 =
  35. 35.HCF of 153 and 170 =
  36. 36.HCF of 44 and 121 =
  37. 37.HCF of 98 and 119 =
  38. 38.HCF of 4 and 30 =
  39. 39.HCF of 180 and 340 =
  40. 40.HCF of 288 and 168 =

Answer key

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

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