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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 567 · 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 90 and 200 =
  2. 2.HCF of 40 and 260 =
  3. 3.HCF of 20 and 170 =
  4. 4.HCF of 45 and 75 =
  5. 5.HCF of 45 and 120 =
  6. 6.HCF of 119 and 98 =
  7. 7.HCF of 140 and 266 =
  8. 8.HCF of 21 and 112 =
  9. 9.HCF of 140 and 240 =
  10. 10.HCF of 99 and 126 =
  11. 11.HCF of 112 and 256 =
  12. 12.HCF of 143 and 198 =
  13. 13.HCF of 266 and 56 =
  14. 14.HCF of 285 and 60 =
  15. 15.HCF of 342 and 270 =
  16. 16.HCF of 160 and 152 =
  17. 17.HCF of 25 and 60 =
  18. 18.HCF of 286 and 440 =
  19. 19.HCF of 312 and 384 =
  20. 20.HCF of 133 and 342 =
  21. 21.HCF of 208 and 48 =
  22. 22.HCF of 15 and 70 =
  23. 23.HCF of 6 and 4 =
  24. 24.HCF of 128 and 208 =
  25. 25.HCF of 294 and 357 =
  26. 26.HCF of 156 and 24 =
  27. 27.HCF of 117 and 162 =
  28. 28.HCF of 90 and 234 =
  29. 29.HCF of 247 and 91 =
  30. 30.HCF of 60 and 72 =
  31. 31.HCF of 115 and 414 =
  32. 32.HCF of 22 and 20 =
  33. 33.HCF of 168 and 60 =
  34. 34.HCF of 325 and 375 =
  35. 35.HCF of 357 and 336 =
  36. 36.HCF of 63 and 147 =
  37. 37.HCF of 320 and 176 =
  38. 38.HCF of 44 and 48 =
  39. 39.HCF of 418 and 198 =
  40. 40.HCF of 125 and 175 =

Answer key

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

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