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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 102 · 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 52 and 169 =
  2. 2.HCF of 378 and 273 =
  3. 3.HCF of 20 and 52 =
  4. 4.HCF of 48 and 180 =
  5. 5.HCF of 144 and 63 =
  6. 6.HCF of 16 and 12 =
  7. 7.HCF of 21 and 98 =
  8. 8.HCF of 36 and 63 =
  9. 9.HCF of 240 and 272 =
  10. 10.HCF of 165 and 60 =
  11. 11.HCF of 12 and 57 =
  12. 12.HCF of 28 and 44 =
  13. 13.HCF of 315 and 399 =
  14. 14.HCF of 45 and 120 =
  15. 15.HCF of 24 and 90 =
  16. 16.HCF of 50 and 375 =
  17. 17.HCF of 85 and 95 =
  18. 18.HCF of 143 and 44 =
  19. 19.HCF of 63 and 28 =
  20. 20.HCF of 40 and 144 =
  21. 21.HCF of 51 and 170 =
  22. 22.HCF of 399 and 336 =
  23. 23.HCF of 253 and 437 =
  24. 24.HCF of 77 and 49 =
  25. 25.HCF of 153 and 126 =
  26. 26.HCF of 42 and 357 =
  27. 27.HCF of 48 and 32 =
  28. 28.HCF of 20 and 65 =
  29. 29.HCF of 120 and 50 =
  30. 30.HCF of 361 and 114 =
  31. 31.HCF of 21 and 45 =
  32. 32.HCF of 10 and 65 =
  33. 33.HCF of 35 and 10 =
  34. 34.HCF of 91 and 143 =
  35. 35.HCF of 30 and 20 =
  36. 36.HCF of 50 and 20 =
  37. 37.HCF of 76 and 12 =
  38. 38.HCF of 15 and 20 =
  39. 39.HCF of 95 and 85 =
  40. 40.HCF of 45 and 108 =

Answer key

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

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