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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 889 · 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 63 and 144 =
  2. 2.HCF of 209 and 88 =
  3. 3.HCF of 60 and 108 =
  4. 4.HCF of 48 and 272 =
  5. 5.HCF of 110 and 154 =
  6. 6.HCF of 180 and 156 =
  7. 7.HCF of 152 and 285 =
  8. 8.HCF of 252 and 234 =
  9. 9.HCF of 30 and 40 =
  10. 10.HCF of 54 and 360 =
  11. 11.HCF of 289 and 204 =
  12. 12.HCF of 450 and 175 =
  13. 13.HCF of 224 and 98 =
  14. 14.HCF of 340 and 60 =
  15. 15.HCF of 208 and 143 =
  16. 16.HCF of 252 and 266 =
  17. 17.HCF of 44 and 24 =
  18. 18.HCF of 224 and 266 =
  19. 19.HCF of 378 and 399 =
  20. 20.HCF of 44 and 187 =
  21. 21.HCF of 144 and 152 =
  22. 22.HCF of 150 and 105 =
  23. 23.HCF of 323 and 380 =
  24. 24.HCF of 36 and 44 =
  25. 25.HCF of 68 and 48 =
  26. 26.HCF of 324 and 306 =
  27. 27.HCF of 60 and 168 =
  28. 28.HCF of 30 and 135 =
  29. 29.HCF of 35 and 75 =
  30. 30.HCF of 72 and 234 =
  31. 31.HCF of 300 and 380 =
  32. 32.HCF of 120 and 66 =
  33. 33.HCF of 77 and 209 =
  34. 34.HCF of 180 and 342 =
  35. 35.HCF of 253 and 368 =
  36. 36.HCF of 90 and 130 =
  37. 37.HCF of 70 and 15 =
  38. 38.HCF of 22 and 55 =
  39. 39.HCF of 10 and 26 =
  40. 40.HCF of 18 and 48 =

Answer key

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

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