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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 600 · 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 144 and 112 =
  2. 2.HCF of 147 and 357 =
  3. 3.HCF of 46 and 253 =
  4. 4.HCF of 90 and 42 =
  5. 5.HCF of 312 and 336 =
  6. 6.HCF of 160 and 180 =
  7. 7.HCF of 57 and 39 =
  8. 8.HCF of 210 and 182 =
  9. 9.HCF of 60 and 27 =
  10. 10.HCF of 69 and 253 =
  11. 11.HCF of 90 and 95 =
  12. 12.HCF of 50 and 110 =
  13. 13.HCF of 225 and 195 =
  14. 14.HCF of 10 and 24 =
  15. 15.HCF of 20 and 15 =
  16. 16.HCF of 400 and 475 =
  17. 17.HCF of 209 and 55 =
  18. 18.HCF of 360 and 198 =
  19. 19.HCF of 16 and 44 =
  20. 20.HCF of 75 and 35 =
  21. 21.HCF of 152 and 24 =
  22. 22.HCF of 144 and 104 =
  23. 23.HCF of 220 and 340 =
  24. 24.HCF of 34 and 20 =
  25. 25.HCF of 112 and 105 =
  26. 26.HCF of 312 and 240 =
  27. 27.HCF of 65 and 52 =
  28. 28.HCF of 130 and 90 =
  29. 29.HCF of 51 and 48 =
  30. 30.HCF of 165 and 285 =
  31. 31.HCF of 36 and 34 =
  32. 32.HCF of 39 and 221 =
  33. 33.HCF of 208 and 272 =
  34. 34.HCF of 120 and 408 =
  35. 35.HCF of 315 and 168 =
  36. 36.HCF of 170 and 160 =
  37. 37.HCF of 126 and 119 =
  38. 38.HCF of 196 and 70 =
  39. 39.HCF of 24 and 18 =
  40. 40.HCF of 323 and 51 =

Answer key

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

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