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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 655 · 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 85 and 25 =
  2. 2.HCF of 30 and 32 =
  3. 3.HCF of 102 and 78 =
  4. 4.HCF of 252 and 231 =
  5. 5.HCF of 322 and 207 =
  6. 6.HCF of 270 and 342 =
  7. 7.HCF of 168 and 192 =
  8. 8.HCF of 120 and 228 =
  9. 9.HCF of 104 and 128 =
  10. 10.HCF of 160 and 152 =
  11. 11.HCF of 110 and 90 =
  12. 12.HCF of 98 and 70 =
  13. 13.HCF of 140 and 170 =
  14. 14.HCF of 273 and 42 =
  15. 15.HCF of 176 and 192 =
  16. 16.HCF of 42 and 24 =
  17. 17.HCF of 26 and 65 =
  18. 18.HCF of 221 and 85 =
  19. 19.HCF of 18 and 42 =
  20. 20.HCF of 60 and 380 =
  21. 21.HCF of 147 and 105 =
  22. 22.HCF of 221 and 255 =
  23. 23.HCF of 320 and 300 =
  24. 24.HCF of 306 and 36 =
  25. 25.HCF of 32 and 240 =
  26. 26.HCF of 4 and 6 =
  27. 27.HCF of 66 and 12 =
  28. 28.HCF of 32 and 68 =
  29. 29.HCF of 225 and 325 =
  30. 30.HCF of 56 and 152 =
  31. 31.HCF of 35 and 77 =
  32. 32.HCF of 57 and 48 =
  33. 33.HCF of 285 and 60 =
  34. 34.HCF of 300 and 380 =
  35. 35.HCF of 30 and 72 =
  36. 36.HCF of 114 and 30 =
  37. 37.HCF of 140 and 50 =
  38. 38.HCF of 110 and 30 =
  39. 39.HCF of 150 and 70 =
  40. 40.HCF of 91 and 14 =

Answer key

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

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