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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 258 · 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 90 and 70 =
  2. 2.HCF of 130 and 70 =
  3. 3.HCF of 234 and 65 =
  4. 4.HCF of 162 and 90 =
  5. 5.HCF of 252 and 273 =
  6. 6.HCF of 35 and 40 =
  7. 7.HCF of 21 and 119 =
  8. 8.HCF of 45 and 65 =
  9. 9.HCF of 240 and 456 =
  10. 10.HCF of 95 and 361 =
  11. 11.HCF of 60 and 144 =
  12. 12.HCF of 77 and 42 =
  13. 13.HCF of 80 and 128 =
  14. 14.HCF of 60 and 72 =
  15. 15.HCF of 180 and 24 =
  16. 16.HCF of 210 and 154 =
  17. 17.HCF of 28 and 68 =
  18. 18.HCF of 30 and 24 =
  19. 19.HCF of 190 and 200 =
  20. 20.HCF of 104 and 40 =
  21. 21.HCF of 88 and 32 =
  22. 22.HCF of 34 and 153 =
  23. 23.HCF of 9 and 48 =
  24. 24.HCF of 66 and 72 =
  25. 25.HCF of 320 and 340 =
  26. 26.HCF of 14 and 91 =
  27. 27.HCF of 91 and 104 =
  28. 28.HCF of 156 and 108 =
  29. 29.HCF of 25 and 60 =
  30. 30.HCF of 75 and 400 =
  31. 31.HCF of 240 and 312 =
  32. 32.HCF of 234 and 324 =
  33. 33.HCF of 38 and 22 =
  34. 34.HCF of 119 and 136 =
  35. 35.HCF of 126 and 357 =
  36. 36.HCF of 80 and 152 =
  37. 37.HCF of 70 and 196 =
  38. 38.HCF of 360 and 342 =
  39. 39.HCF of 70 and 49 =
  40. 40.HCF of 36 and 20 =

Answer key

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

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