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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 653 · 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 80 and 85 =
  2. 2.HCF of 12 and 26 =
  3. 3.HCF of 192 and 264 =
  4. 4.HCF of 136 and 32 =
  5. 5.HCF of 152 and 104 =
  6. 6.HCF of 154 and 121 =
  7. 7.HCF of 160 and 24 =
  8. 8.HCF of 256 and 272 =
  9. 9.HCF of 361 and 95 =
  10. 10.HCF of 162 and 72 =
  11. 11.HCF of 72 and 160 =
  12. 12.HCF of 60 and 204 =
  13. 13.HCF of 54 and 51 =
  14. 14.HCF of 144 and 56 =
  15. 15.HCF of 306 and 323 =
  16. 16.HCF of 192 and 108 =
  17. 17.HCF of 456 and 96 =
  18. 18.HCF of 138 and 253 =
  19. 19.HCF of 44 and 110 =
  20. 20.HCF of 374 and 286 =
  21. 21.HCF of 180 and 192 =
  22. 22.HCF of 380 and 220 =
  23. 23.HCF of 24 and 54 =
  24. 24.HCF of 114 and 108 =
  25. 25.HCF of 9 and 57 =
  26. 26.HCF of 275 and 100 =
  27. 27.HCF of 272 and 85 =
  28. 28.HCF of 260 and 100 =
  29. 29.HCF of 252 and 70 =
  30. 30.HCF of 16 and 136 =
  31. 31.HCF of 32 and 48 =
  32. 32.HCF of 320 and 380 =
  33. 33.HCF of 27 and 126 =
  34. 34.HCF of 180 and 126 =
  35. 35.HCF of 64 and 88 =
  36. 36.HCF of 35 and 75 =
  37. 37.HCF of 96 and 208 =
  38. 38.HCF of 136 and 72 =
  39. 39.HCF of 44 and 76 =
  40. 40.HCF of 114 and 133 =

Answer key

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

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