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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 833 · 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 48 and 21 =
  2. 2.HCF of 54 and 24 =
  3. 3.HCF of 126 and 399 =
  4. 4.HCF of 40 and 52 =
  5. 5.HCF of 90 and 126 =
  6. 6.HCF of 56 and 16 =
  7. 7.HCF of 208 and 39 =
  8. 8.HCF of 220 and 374 =
  9. 9.HCF of 238 and 210 =
  10. 10.HCF of 28 and 63 =
  11. 11.HCF of 171 and 90 =
  12. 12.HCF of 121 and 22 =
  13. 13.HCF of 238 and 70 =
  14. 14.HCF of 63 and 14 =
  15. 15.HCF of 114 and 24 =
  16. 16.HCF of 12 and 114 =
  17. 17.HCF of 70 and 180 =
  18. 18.HCF of 21 and 119 =
  19. 19.HCF of 75 and 50 =
  20. 20.HCF of 24 and 88 =
  21. 21.HCF of 195 and 169 =
  22. 22.HCF of 78 and 36 =
  23. 23.HCF of 30 and 36 =
  24. 24.HCF of 272 and 80 =
  25. 25.HCF of 288 and 54 =
  26. 26.HCF of 325 and 300 =
  27. 27.HCF of 72 and 342 =
  28. 28.HCF of 95 and 152 =
  29. 29.HCF of 18 and 120 =
  30. 30.HCF of 195 and 120 =
  31. 31.HCF of 255 and 119 =
  32. 32.HCF of 260 and 120 =
  33. 33.HCF of 28 and 48 =
  34. 34.HCF of 8 and 30 =
  35. 35.HCF of 152 and 40 =
  36. 36.HCF of 187 and 209 =
  37. 37.HCF of 144 and 126 =
  38. 38.HCF of 221 and 289 =
  39. 39.HCF of 48 and 114 =
  40. 40.HCF of 24 and 10 =

Answer key

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

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