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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 489 · 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 22 and 34 =
  2. 2.HCF of 117 and 36 =
  3. 3.HCF of 238 and 187 =
  4. 4.HCF of 80 and 192 =
  5. 5.HCF of 45 and 50 =
  6. 6.HCF of 187 and 340 =
  7. 7.HCF of 8 and 52 =
  8. 8.HCF of 110 and 286 =
  9. 9.HCF of 36 and 8 =
  10. 10.HCF of 391 and 69 =
  11. 11.HCF of 44 and 418 =
  12. 12.HCF of 22 and 38 =
  13. 13.HCF of 391 and 437 =
  14. 14.HCF of 63 and 336 =
  15. 15.HCF of 91 and 63 =
  16. 16.HCF of 110 and 130 =
  17. 17.HCF of 147 and 189 =
  18. 18.HCF of 24 and 16 =
  19. 19.HCF of 192 and 312 =
  20. 20.HCF of 20 and 12 =
  21. 21.HCF of 154 and 70 =
  22. 22.HCF of 117 and 45 =
  23. 23.HCF of 156 and 72 =
  24. 24.HCF of 15 and 100 =
  25. 25.HCF of 100 and 170 =
  26. 26.HCF of 104 and 91 =
  27. 27.HCF of 60 and 78 =
  28. 28.HCF of 80 and 30 =
  29. 29.HCF of 36 and 240 =
  30. 30.HCF of 98 and 21 =
  31. 31.HCF of 144 and 99 =
  32. 32.HCF of 132 and 168 =
  33. 33.HCF of 72 and 99 =
  34. 34.HCF of 112 and 21 =
  35. 35.HCF of 168 and 216 =
  36. 36.HCF of 264 and 216 =
  37. 37.HCF of 144 and 80 =
  38. 38.HCF of 221 and 260 =
  39. 39.HCF of 60 and 50 =
  40. 40.HCF of 102 and 42 =

Answer key

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

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