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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 942 · 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 140 and 200 =
  2. 2.HCF of 264 and 288 =
  3. 3.HCF of 160 and 112 =
  4. 4.HCF of 374 and 440 =
  5. 5.HCF of 32 and 26 =
  6. 6.HCF of 114 and 72 =
  7. 7.HCF of 20 and 32 =
  8. 8.HCF of 76 and 171 =
  9. 9.HCF of 414 and 299 =
  10. 10.HCF of 300 and 45 =
  11. 11.HCF of 120 and 100 =
  12. 12.HCF of 44 and 76 =
  13. 13.HCF of 228 and 216 =
  14. 14.HCF of 15 and 54 =
  15. 15.HCF of 306 and 90 =
  16. 16.HCF of 70 and 15 =
  17. 17.HCF of 88 and 152 =
  18. 18.HCF of 408 and 264 =
  19. 19.HCF of 28 and 18 =
  20. 20.HCF of 69 and 322 =
  21. 21.HCF of 190 and 110 =
  22. 22.HCF of 33 and 12 =
  23. 23.HCF of 253 and 46 =
  24. 24.HCF of 45 and 144 =
  25. 25.HCF of 289 and 323 =
  26. 26.HCF of 90 and 25 =
  27. 27.HCF of 144 and 342 =
  28. 28.HCF of 115 and 253 =
  29. 29.HCF of 30 and 26 =
  30. 30.HCF of 40 and 136 =
  31. 31.HCF of 154 and 286 =
  32. 32.HCF of 273 and 378 =
  33. 33.HCF of 187 and 121 =
  34. 34.HCF of 322 and 345 =
  35. 35.HCF of 114 and 72 =
  36. 36.HCF of 50 and 70 =
  37. 37.HCF of 190 and 20 =
  38. 38.HCF of 144 and 88 =
  39. 39.HCF of 72 and 117 =
  40. 40.HCF of 209 and 55 =

Answer key

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

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