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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 628 · 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 14 and 18 =
  2. 2.HCF of 36 and 21 =
  3. 3.HCF of 84 and 49 =
  4. 4.HCF of 152 and 32 =
  5. 5.HCF of 72 and 63 =
  6. 6.HCF of 152 and 72 =
  7. 7.HCF of 154 and 198 =
  8. 8.HCF of 20 and 52 =
  9. 9.HCF of 105 and 189 =
  10. 10.HCF of 220 and 160 =
  11. 11.HCF of 260 and 91 =
  12. 12.HCF of 65 and 117 =
  13. 13.HCF of 105 and 28 =
  14. 14.HCF of 30 and 96 =
  15. 15.HCF of 128 and 304 =
  16. 16.HCF of 55 and 143 =
  17. 17.HCF of 90 and 216 =
  18. 18.HCF of 160 and 220 =
  19. 19.HCF of 153 and 45 =
  20. 20.HCF of 180 and 80 =
  21. 21.HCF of 182 and 65 =
  22. 22.HCF of 350 and 375 =
  23. 23.HCF of 33 and 45 =
  24. 24.HCF of 50 and 325 =
  25. 25.HCF of 350 and 425 =
  26. 26.HCF of 275 and 325 =
  27. 27.HCF of 285 and 135 =
  28. 28.HCF of 160 and 90 =
  29. 29.HCF of 143 and 117 =
  30. 30.HCF of 39 and 52 =
  31. 31.HCF of 176 and 154 =
  32. 32.HCF of 42 and 27 =
  33. 33.HCF of 114 and 84 =
  34. 34.HCF of 238 and 84 =
  35. 35.HCF of 63 and 84 =
  36. 36.HCF of 16 and 40 =
  37. 37.HCF of 72 and 56 =
  38. 38.HCF of 345 and 253 =
  39. 39.HCF of 75 and 80 =
  40. 40.HCF of 32 and 18 =

Answer key

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

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