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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 98 · 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 165 =
  2. 2.HCF of 27 and 63 =
  3. 3.HCF of 22 and 187 =
  4. 4.HCF of 289 and 238 =
  5. 5.HCF of 300 and 45 =
  6. 6.HCF of 126 and 266 =
  7. 7.HCF of 108 and 60 =
  8. 8.HCF of 176 and 121 =
  9. 9.HCF of 104 and 56 =
  10. 10.HCF of 26 and 91 =
  11. 11.HCF of 204 and 48 =
  12. 12.HCF of 126 and 357 =
  13. 13.HCF of 391 and 115 =
  14. 14.HCF of 234 and 162 =
  15. 15.HCF of 57 and 361 =
  16. 16.HCF of 16 and 120 =
  17. 17.HCF of 144 and 171 =
  18. 18.HCF of 66 and 88 =
  19. 19.HCF of 98 and 28 =
  20. 20.HCF of 12 and 38 =
  21. 21.HCF of 312 and 192 =
  22. 22.HCF of 180 and 280 =
  23. 23.HCF of 168 and 60 =
  24. 24.HCF of 119 and 70 =
  25. 25.HCF of 374 and 88 =
  26. 26.HCF of 114 and 90 =
  27. 27.HCF of 22 and 121 =
  28. 28.HCF of 210 and 196 =
  29. 29.HCF of 60 and 195 =
  30. 30.HCF of 204 and 48 =
  31. 31.HCF of 400 and 375 =
  32. 32.HCF of 128 and 104 =
  33. 33.HCF of 48 and 112 =
  34. 34.HCF of 21 and 133 =
  35. 35.HCF of 39 and 33 =
  36. 36.HCF of 147 and 105 =
  37. 37.HCF of 126 and 72 =
  38. 38.HCF of 12 and 21 =
  39. 39.HCF of 55 and 100 =
  40. 40.HCF of 96 and 208 =

Answer key

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

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