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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 525 · 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 24 and 14 =
  2. 2.HCF of 182 and 168 =
  3. 3.HCF of 77 and 44 =
  4. 4.HCF of 63 and 210 =
  5. 5.HCF of 112 and 192 =
  6. 6.HCF of 143 and 117 =
  7. 7.HCF of 156 and 108 =
  8. 8.HCF of 256 and 304 =
  9. 9.HCF of 48 and 120 =
  10. 10.HCF of 48 and 18 =
  11. 11.HCF of 312 and 456 =
  12. 12.HCF of 54 and 45 =
  13. 13.HCF of 380 and 120 =
  14. 14.HCF of 45 and 6 =
  15. 15.HCF of 104 and 32 =
  16. 16.HCF of 350 and 475 =
  17. 17.HCF of 475 and 300 =
  18. 18.HCF of 38 and 18 =
  19. 19.HCF of 114 and 30 =
  20. 20.HCF of 133 and 57 =
  21. 21.HCF of 325 and 450 =
  22. 22.HCF of 275 and 125 =
  23. 23.HCF of 115 and 69 =
  24. 24.HCF of 46 and 161 =
  25. 25.HCF of 140 and 320 =
  26. 26.HCF of 220 and 280 =
  27. 27.HCF of 275 and 100 =
  28. 28.HCF of 143 and 66 =
  29. 29.HCF of 196 and 70 =
  30. 30.HCF of 117 and 130 =
  31. 31.HCF of 180 and 190 =
  32. 32.HCF of 32 and 120 =
  33. 33.HCF of 9 and 57 =
  34. 34.HCF of 175 and 150 =
  35. 35.HCF of 144 and 208 =
  36. 36.HCF of 66 and 36 =
  37. 37.HCF of 68 and 16 =
  38. 38.HCF of 192 and 108 =
  39. 39.HCF of 300 and 165 =
  40. 40.HCF of 361 and 38 =

Answer key

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

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