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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 719 · 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 154 and 70 =
  2. 2.HCF of 72 and 32 =
  3. 3.HCF of 425 and 350 =
  4. 4.HCF of 180 and 50 =
  5. 5.HCF of 361 and 323 =
  6. 6.HCF of 8 and 26 =
  7. 7.HCF of 36 and 153 =
  8. 8.HCF of 176 and 240 =
  9. 9.HCF of 299 and 391 =
  10. 10.HCF of 24 and 76 =
  11. 11.HCF of 24 and 80 =
  12. 12.HCF of 90 and 342 =
  13. 13.HCF of 80 and 72 =
  14. 14.HCF of 420 and 63 =
  15. 15.HCF of 225 and 165 =
  16. 16.HCF of 160 and 260 =
  17. 17.HCF of 77 and 110 =
  18. 18.HCF of 39 and 260 =
  19. 19.HCF of 100 and 340 =
  20. 20.HCF of 119 and 49 =
  21. 21.HCF of 120 and 108 =
  22. 22.HCF of 125 and 50 =
  23. 23.HCF of 228 and 84 =
  24. 24.HCF of 28 and 133 =
  25. 25.HCF of 18 and 45 =
  26. 26.HCF of 275 and 150 =
  27. 27.HCF of 35 and 45 =
  28. 28.HCF of 80 and 56 =
  29. 29.HCF of 65 and 75 =
  30. 30.HCF of 51 and 12 =
  31. 31.HCF of 63 and 27 =
  32. 32.HCF of 28 and 8 =
  33. 33.HCF of 117 and 169 =
  34. 34.HCF of 230 and 69 =
  35. 35.HCF of 112 and 24 =
  36. 36.HCF of 120 and 152 =
  37. 37.HCF of 42 and 119 =
  38. 38.HCF of 85 and 204 =
  39. 39.HCF of 96 and 304 =
  40. 40.HCF of 176 and 240 =

Answer key

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

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