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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 446 · 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 105 and 84 =
  2. 2.HCF of 108 and 342 =
  3. 3.HCF of 144 and 306 =
  4. 4.HCF of 187 and 102 =
  5. 5.HCF of 99 and 44 =
  6. 6.HCF of 115 and 138 =
  7. 7.HCF of 32 and 26 =
  8. 8.HCF of 56 and 77 =
  9. 9.HCF of 115 and 69 =
  10. 10.HCF of 231 and 168 =
  11. 11.HCF of 195 and 26 =
  12. 12.HCF of 33 and 12 =
  13. 13.HCF of 36 and 48 =
  14. 14.HCF of 156 and 221 =
  15. 15.HCF of 70 and 45 =
  16. 16.HCF of 15 and 33 =
  17. 17.HCF of 32 and 26 =
  18. 18.HCF of 114 and 95 =
  19. 19.HCF of 12 and 51 =
  20. 20.HCF of 63 and 105 =
  21. 21.HCF of 63 and 28 =
  22. 22.HCF of 175 and 75 =
  23. 23.HCF of 48 and 208 =
  24. 24.HCF of 108 and 156 =
  25. 25.HCF of 208 and 224 =
  26. 26.HCF of 92 and 391 =
  27. 27.HCF of 24 and 14 =
  28. 28.HCF of 80 and 12 =
  29. 29.HCF of 200 and 475 =
  30. 30.HCF of 30 and 85 =
  31. 31.HCF of 88 and 66 =
  32. 32.HCF of 65 and 60 =
  33. 33.HCF of 28 and 36 =
  34. 34.HCF of 78 and 12 =
  35. 35.HCF of 51 and 187 =
  36. 36.HCF of 420 and 399 =
  37. 37.HCF of 170 and 221 =
  38. 38.HCF of 54 and 66 =
  39. 39.HCF of 72 and 160 =
  40. 40.HCF of 120 and 380 =

Answer key

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

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