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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 523 · 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 220 and 160 =
  2. 2.HCF of 99 and 36 =
  3. 3.HCF of 60 and 36 =
  4. 4.HCF of 42 and 266 =
  5. 5.HCF of 15 and 80 =
  6. 6.HCF of 65 and 26 =
  7. 7.HCF of 30 and 225 =
  8. 8.HCF of 399 and 378 =
  9. 9.HCF of 182 and 252 =
  10. 10.HCF of 39 and 104 =
  11. 11.HCF of 475 and 275 =
  12. 12.HCF of 132 and 24 =
  13. 13.HCF of 200 and 260 =
  14. 14.HCF of 90 and 63 =
  15. 15.HCF of 128 and 120 =
  16. 16.HCF of 132 and 24 =
  17. 17.HCF of 475 and 500 =
  18. 18.HCF of 231 and 126 =
  19. 19.HCF of 357 and 126 =
  20. 20.HCF of 72 and 312 =
  21. 21.HCF of 299 and 253 =
  22. 22.HCF of 57 and 361 =
  23. 23.HCF of 88 and 96 =
  24. 24.HCF of 51 and 221 =
  25. 25.HCF of 50 and 375 =
  26. 26.HCF of 24 and 22 =
  27. 27.HCF of 78 and 108 =
  28. 28.HCF of 85 and 95 =
  29. 29.HCF of 30 and 27 =
  30. 30.HCF of 90 and 80 =
  31. 31.HCF of 418 and 154 =
  32. 32.HCF of 21 and 77 =
  33. 33.HCF of 64 and 120 =
  34. 34.HCF of 312 and 456 =
  35. 35.HCF of 170 and 60 =
  36. 36.HCF of 408 and 216 =
  37. 37.HCF of 36 and 114 =
  38. 38.HCF of 63 and 54 =
  39. 39.HCF of 54 and 234 =
  40. 40.HCF of 56 and 42 =

Answer key

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

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