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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 156 · 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 18 and 51 =
  2. 2.HCF of 21 and 39 =
  3. 3.HCF of 312 and 168 =
  4. 4.HCF of 260 and 40 =
  5. 5.HCF of 304 and 80 =
  6. 6.HCF of 10 and 35 =
  7. 7.HCF of 306 and 126 =
  8. 8.HCF of 36 and 135 =
  9. 9.HCF of 88 and 64 =
  10. 10.HCF of 64 and 176 =
  11. 11.HCF of 22 and 77 =
  12. 12.HCF of 21 and 91 =
  13. 13.HCF of 66 and 88 =
  14. 14.HCF of 56 and 76 =
  15. 15.HCF of 26 and 143 =
  16. 16.HCF of 25 and 55 =
  17. 17.HCF of 200 and 175 =
  18. 18.HCF of 160 and 104 =
  19. 19.HCF of 361 and 95 =
  20. 20.HCF of 190 and 130 =
  21. 21.HCF of 187 and 238 =
  22. 22.HCF of 136 and 289 =
  23. 23.HCF of 144 and 81 =
  24. 24.HCF of 198 and 54 =
  25. 25.HCF of 168 and 288 =
  26. 26.HCF of 77 and 133 =
  27. 27.HCF of 360 and 260 =
  28. 28.HCF of 48 and 408 =
  29. 29.HCF of 91 and 78 =
  30. 30.HCF of 437 and 207 =
  31. 31.HCF of 60 and 110 =
  32. 32.HCF of 63 and 36 =
  33. 33.HCF of 63 and 119 =
  34. 34.HCF of 140 and 50 =
  35. 35.HCF of 100 and 275 =
  36. 36.HCF of 39 and 54 =
  37. 37.HCF of 25 and 20 =
  38. 38.HCF of 312 and 96 =
  39. 39.HCF of 90 and 252 =
  40. 40.HCF of 143 and 260 =

Answer key

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

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