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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 122 · 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 168 and 231 =
  2. 2.HCF of 12 and 64 =
  3. 3.HCF of 90 and 306 =
  4. 4.HCF of 247 and 117 =
  5. 5.HCF of 133 and 126 =
  6. 6.HCF of 289 and 102 =
  7. 7.HCF of 14 and 30 =
  8. 8.HCF of 238 and 56 =
  9. 9.HCF of 22 and 26 =
  10. 10.HCF of 63 and 168 =
  11. 11.HCF of 105 and 45 =
  12. 12.HCF of 260 and 100 =
  13. 13.HCF of 408 and 240 =
  14. 14.HCF of 63 and 35 =
  15. 15.HCF of 42 and 18 =
  16. 16.HCF of 275 and 225 =
  17. 17.HCF of 24 and 28 =
  18. 18.HCF of 288 and 120 =
  19. 19.HCF of 400 and 125 =
  20. 20.HCF of 44 and 374 =
  21. 21.HCF of 21 and 14 =
  22. 22.HCF of 340 and 60 =
  23. 23.HCF of 374 and 176 =
  24. 24.HCF of 84 and 114 =
  25. 25.HCF of 144 and 208 =
  26. 26.HCF of 360 and 312 =
  27. 27.HCF of 34 and 8 =
  28. 28.HCF of 56 and 21 =
  29. 29.HCF of 72 and 342 =
  30. 30.HCF of 168 and 60 =
  31. 31.HCF of 24 and 84 =
  32. 32.HCF of 132 and 143 =
  33. 33.HCF of 204 and 72 =
  34. 34.HCF of 306 and 54 =
  35. 35.HCF of 51 and 136 =
  36. 36.HCF of 391 and 138 =
  37. 37.HCF of 14 and 119 =
  38. 38.HCF of 50 and 20 =
  39. 39.HCF of 8 and 38 =
  40. 40.HCF of 70 and 25 =

Answer key

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

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