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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 152 · 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 96 and 168 =
  2. 2.HCF of 30 and 18 =
  3. 3.HCF of 45 and 285 =
  4. 4.HCF of 32 and 240 =
  5. 5.HCF of 60 and 35 =
  6. 6.HCF of 10 and 15 =
  7. 7.HCF of 120 and 340 =
  8. 8.HCF of 175 and 50 =
  9. 9.HCF of 135 and 63 =
  10. 10.HCF of 18 and 12 =
  11. 11.HCF of 30 and 50 =
  12. 12.HCF of 294 and 63 =
  13. 13.HCF of 143 and 208 =
  14. 14.HCF of 72 and 156 =
  15. 15.HCF of 28 and 98 =
  16. 16.HCF of 91 and 56 =
  17. 17.HCF of 304 and 32 =
  18. 18.HCF of 24 and 136 =
  19. 19.HCF of 112 and 192 =
  20. 20.HCF of 190 and 57 =
  21. 21.HCF of 10 and 6 =
  22. 22.HCF of 80 and 44 =
  23. 23.HCF of 20 and 16 =
  24. 24.HCF of 21 and 12 =
  25. 25.HCF of 195 and 45 =
  26. 26.HCF of 39 and 9 =
  27. 27.HCF of 238 and 112 =
  28. 28.HCF of 105 and 91 =
  29. 29.HCF of 22 and 28 =
  30. 30.HCF of 110 and 66 =
  31. 31.HCF of 144 and 408 =
  32. 32.HCF of 75 and 195 =
  33. 33.HCF of 48 and 60 =
  34. 34.HCF of 65 and 104 =
  35. 35.HCF of 120 and 264 =
  36. 36.HCF of 150 and 425 =
  37. 37.HCF of 60 and 170 =
  38. 38.HCF of 8 and 36 =
  39. 39.HCF of 78 and 24 =
  40. 40.HCF of 26 and 30 =

Answer key

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

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