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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 533 · 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 375 and 100 =
  2. 2.HCF of 63 and 231 =
  3. 3.HCF of 51 and 54 =
  4. 4.HCF of 270 and 126 =
  5. 5.HCF of 160 and 110 =
  6. 6.HCF of 39 and 65 =
  7. 7.HCF of 195 and 247 =
  8. 8.HCF of 315 and 147 =
  9. 9.HCF of 418 and 330 =
  10. 10.HCF of 300 and 45 =
  11. 11.HCF of 112 and 208 =
  12. 12.HCF of 39 and 12 =
  13. 13.HCF of 160 and 72 =
  14. 14.HCF of 225 and 425 =
  15. 15.HCF of 96 and 456 =
  16. 16.HCF of 28 and 44 =
  17. 17.HCF of 208 and 64 =
  18. 18.HCF of 36 and 56 =
  19. 19.HCF of 24 and 21 =
  20. 20.HCF of 180 and 96 =
  21. 21.HCF of 108 and 228 =
  22. 22.HCF of 45 and 255 =
  23. 23.HCF of 408 and 144 =
  24. 24.HCF of 45 and 99 =
  25. 25.HCF of 75 and 125 =
  26. 26.HCF of 12 and 10 =
  27. 27.HCF of 50 and 275 =
  28. 28.HCF of 32 and 28 =
  29. 29.HCF of 60 and 64 =
  30. 30.HCF of 12 and 57 =
  31. 31.HCF of 252 and 147 =
  32. 32.HCF of 80 and 15 =
  33. 33.HCF of 342 and 72 =
  34. 34.HCF of 76 and 68 =
  35. 35.HCF of 52 and 40 =
  36. 36.HCF of 126 and 56 =
  37. 37.HCF of 56 and 40 =
  38. 38.HCF of 414 and 437 =
  39. 39.HCF of 176 and 96 =
  40. 40.HCF of 138 and 115 =

Answer key

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

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