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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 402 · 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 66 and 36 =
  2. 2.HCF of 55 and 20 =
  3. 3.HCF of 450 and 475 =
  4. 4.HCF of 399 and 294 =
  5. 5.HCF of 264 and 72 =
  6. 6.HCF of 133 and 21 =
  7. 7.HCF of 21 and 119 =
  8. 8.HCF of 342 and 36 =
  9. 9.HCF of 57 and 133 =
  10. 10.HCF of 28 and 48 =
  11. 11.HCF of 49 and 91 =
  12. 12.HCF of 208 and 288 =
  13. 13.HCF of 115 and 138 =
  14. 14.HCF of 91 and 104 =
  15. 15.HCF of 143 and 104 =
  16. 16.HCF of 91 and 77 =
  17. 17.HCF of 70 and 21 =
  18. 18.HCF of 84 and 36 =
  19. 19.HCF of 76 and 95 =
  20. 20.HCF of 78 and 90 =
  21. 21.HCF of 54 and 306 =
  22. 22.HCF of 8 and 10 =
  23. 23.HCF of 72 and 78 =
  24. 24.HCF of 105 and 133 =
  25. 25.HCF of 92 and 69 =
  26. 26.HCF of 57 and 27 =
  27. 27.HCF of 195 and 104 =
  28. 28.HCF of 30 and 14 =
  29. 29.HCF of 450 and 275 =
  30. 30.HCF of 391 and 253 =
  31. 31.HCF of 161 and 138 =
  32. 32.HCF of 98 and 56 =
  33. 33.HCF of 264 and 144 =
  34. 34.HCF of 380 and 360 =
  35. 35.HCF of 48 and 40 =
  36. 36.HCF of 306 and 187 =
  37. 37.HCF of 85 and 65 =
  38. 38.HCF of 39 and 30 =
  39. 39.HCF of 119 and 289 =
  40. 40.HCF of 48 and 56 =

Answer key

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

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