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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 308 · 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 165 and 154 =
  2. 2.HCF of 352 and 242 =
  3. 3.HCF of 143 and 26 =
  4. 4.HCF of 42 and 154 =
  5. 5.HCF of 27 and 42 =
  6. 6.HCF of 132 and 154 =
  7. 7.HCF of 28 and 8 =
  8. 8.HCF of 70 and 200 =
  9. 9.HCF of 322 and 345 =
  10. 10.HCF of 54 and 153 =
  11. 11.HCF of 70 and 200 =
  12. 12.HCF of 147 and 189 =
  13. 13.HCF of 384 and 216 =
  14. 14.HCF of 189 and 147 =
  15. 15.HCF of 60 and 140 =
  16. 16.HCF of 26 and 143 =
  17. 17.HCF of 36 and 153 =
  18. 18.HCF of 168 and 108 =
  19. 19.HCF of 34 and 255 =
  20. 20.HCF of 322 and 437 =
  21. 21.HCF of 408 and 168 =
  22. 22.HCF of 46 and 437 =
  23. 23.HCF of 288 and 456 =
  24. 24.HCF of 221 and 306 =
  25. 25.HCF of 64 and 144 =
  26. 26.HCF of 80 and 50 =
  27. 27.HCF of 154 and 418 =
  28. 28.HCF of 180 and 24 =
  29. 29.HCF of 280 and 60 =
  30. 30.HCF of 247 and 195 =
  31. 31.HCF of 18 and 22 =
  32. 32.HCF of 276 and 115 =
  33. 33.HCF of 108 and 48 =
  34. 34.HCF of 98 and 70 =
  35. 35.HCF of 35 and 10 =
  36. 36.HCF of 20 and 150 =
  37. 37.HCF of 44 and 48 =
  38. 38.HCF of 80 and 152 =
  39. 39.HCF of 144 and 306 =
  40. 40.HCF of 224 and 272 =

Answer key

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

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