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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 784 · 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 300 and 220 =
  2. 2.HCF of 44 and 418 =
  3. 3.HCF of 96 and 30 =
  4. 4.HCF of 60 and 228 =
  5. 5.HCF of 24 and 57 =
  6. 6.HCF of 72 and 336 =
  7. 7.HCF of 176 and 209 =
  8. 8.HCF of 51 and 57 =
  9. 9.HCF of 92 and 207 =
  10. 10.HCF of 18 and 84 =
  11. 11.HCF of 70 and 95 =
  12. 12.HCF of 168 and 456 =
  13. 13.HCF of 264 and 286 =
  14. 14.HCF of 168 and 264 =
  15. 15.HCF of 216 and 96 =
  16. 16.HCF of 50 and 45 =
  17. 17.HCF of 70 and 91 =
  18. 18.HCF of 69 and 115 =
  19. 19.HCF of 437 and 207 =
  20. 20.HCF of 391 and 253 =
  21. 21.HCF of 72 and 136 =
  22. 22.HCF of 234 and 306 =
  23. 23.HCF of 437 and 460 =
  24. 24.HCF of 228 and 72 =
  25. 25.HCF of 42 and 133 =
  26. 26.HCF of 14 and 12 =
  27. 27.HCF of 168 and 315 =
  28. 28.HCF of 64 and 44 =
  29. 29.HCF of 91 and 169 =
  30. 30.HCF of 10 and 28 =
  31. 31.HCF of 192 and 360 =
  32. 32.HCF of 260 and 221 =
  33. 33.HCF of 361 and 114 =
  34. 34.HCF of 44 and 374 =
  35. 35.HCF of 30 and 45 =
  36. 36.HCF of 60 and 56 =
  37. 37.HCF of 150 and 160 =
  38. 38.HCF of 230 and 161 =
  39. 39.HCF of 140 and 49 =
  40. 40.HCF of 132 and 168 =

Answer key

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

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