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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 437 · 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 51 and 323 =
  2. 2.HCF of 208 and 160 =
  3. 3.HCF of 209 and 165 =
  4. 4.HCF of 119 and 85 =
  5. 5.HCF of 266 and 28 =
  6. 6.HCF of 156 and 48 =
  7. 7.HCF of 112 and 64 =
  8. 8.HCF of 96 and 176 =
  9. 9.HCF of 96 and 84 =
  10. 10.HCF of 36 and 22 =
  11. 11.HCF of 91 and 26 =
  12. 12.HCF of 156 and 24 =
  13. 13.HCF of 48 and 120 =
  14. 14.HCF of 391 and 46 =
  15. 15.HCF of 51 and 289 =
  16. 16.HCF of 36 and 342 =
  17. 17.HCF of 192 and 216 =
  18. 18.HCF of 26 and 16 =
  19. 19.HCF of 28 and 16 =
  20. 20.HCF of 180 and 50 =
  21. 21.HCF of 63 and 14 =
  22. 22.HCF of 384 and 168 =
  23. 23.HCF of 289 and 136 =
  24. 24.HCF of 171 and 135 =
  25. 25.HCF of 169 and 39 =
  26. 26.HCF of 27 and 126 =
  27. 27.HCF of 28 and 42 =
  28. 28.HCF of 15 and 80 =
  29. 29.HCF of 180 and 24 =
  30. 30.HCF of 378 and 273 =
  31. 31.HCF of 210 and 182 =
  32. 32.HCF of 98 and 182 =
  33. 33.HCF of 176 and 187 =
  34. 34.HCF of 66 and 308 =
  35. 35.HCF of 100 and 110 =
  36. 36.HCF of 35 and 126 =
  37. 37.HCF of 68 and 56 =
  38. 38.HCF of 85 and 289 =
  39. 39.HCF of 80 and 56 =
  40. 40.HCF of 299 and 207 =

Answer key

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

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