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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 447 · 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 98 and 252 =
  2. 2.HCF of 110 and 99 =
  3. 3.HCF of 108 and 90 =
  4. 4.HCF of 169 and 156 =
  5. 5.HCF of 100 and 220 =
  6. 6.HCF of 120 and 340 =
  7. 7.HCF of 325 and 475 =
  8. 8.HCF of 312 and 192 =
  9. 9.HCF of 204 and 120 =
  10. 10.HCF of 156 and 108 =
  11. 11.HCF of 99 and 162 =
  12. 12.HCF of 84 and 91 =
  13. 13.HCF of 54 and 153 =
  14. 14.HCF of 121 and 88 =
  15. 15.HCF of 10 and 14 =
  16. 16.HCF of 108 and 66 =
  17. 17.HCF of 30 and 21 =
  18. 18.HCF of 75 and 10 =
  19. 19.HCF of 300 and 40 =
  20. 20.HCF of 104 and 64 =
  21. 21.HCF of 66 and 30 =
  22. 22.HCF of 150 and 135 =
  23. 23.HCF of 175 and 225 =
  24. 24.HCF of 128 and 120 =
  25. 25.HCF of 98 and 112 =
  26. 26.HCF of 51 and 136 =
  27. 27.HCF of 110 and 50 =
  28. 28.HCF of 88 and 66 =
  29. 29.HCF of 304 and 288 =
  30. 30.HCF of 63 and 399 =
  31. 31.HCF of 196 and 70 =
  32. 32.HCF of 22 and 26 =
  33. 33.HCF of 162 and 63 =
  34. 34.HCF of 80 and 96 =
  35. 35.HCF of 200 and 340 =
  36. 36.HCF of 121 and 44 =
  37. 37.HCF of 65 and 91 =
  38. 38.HCF of 12 and 114 =
  39. 39.HCF of 323 and 221 =
  40. 40.HCF of 342 and 323 =

Answer key

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

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