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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 548 · 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 75 and 240 =
  2. 2.HCF of 150 and 45 =
  3. 3.HCF of 42 and 63 =
  4. 4.HCF of 36 and 153 =
  5. 5.HCF of 57 and 36 =
  6. 6.HCF of 299 and 69 =
  7. 7.HCF of 475 and 450 =
  8. 8.HCF of 256 and 176 =
  9. 9.HCF of 42 and 24 =
  10. 10.HCF of 16 and 40 =
  11. 11.HCF of 288 and 270 =
  12. 12.HCF of 48 and 168 =
  13. 13.HCF of 14 and 36 =
  14. 14.HCF of 104 and 128 =
  15. 15.HCF of 45 and 300 =
  16. 16.HCF of 288 and 90 =
  17. 17.HCF of 143 and 169 =
  18. 18.HCF of 276 and 115 =
  19. 19.HCF of 210 and 273 =
  20. 20.HCF of 437 and 299 =
  21. 21.HCF of 275 and 125 =
  22. 22.HCF of 144 and 126 =
  23. 23.HCF of 130 and 40 =
  24. 24.HCF of 4 and 34 =
  25. 25.HCF of 68 and 323 =
  26. 26.HCF of 57 and 39 =
  27. 27.HCF of 264 and 120 =
  28. 28.HCF of 304 and 95 =
  29. 29.HCF of 45 and 150 =
  30. 30.HCF of 425 and 475 =
  31. 31.HCF of 35 and 80 =
  32. 32.HCF of 104 and 56 =
  33. 33.HCF of 147 and 42 =
  34. 34.HCF of 30 and 78 =
  35. 35.HCF of 357 and 147 =
  36. 36.HCF of 121 and 176 =
  37. 37.HCF of 133 and 105 =
  38. 38.HCF of 272 and 153 =
  39. 39.HCF of 90 and 140 =
  40. 40.HCF of 66 and 374 =

Answer key

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

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