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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 218 · 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 312 and 264 =
  2. 2.HCF of 247 and 190 =
  3. 3.HCF of 242 and 176 =
  4. 4.HCF of 160 and 70 =
  5. 5.HCF of 198 and 286 =
  6. 6.HCF of 216 and 84 =
  7. 7.HCF of 56 and 70 =
  8. 8.HCF of 126 and 231 =
  9. 9.HCF of 323 and 285 =
  10. 10.HCF of 168 and 231 =
  11. 11.HCF of 30 and 57 =
  12. 12.HCF of 100 and 35 =
  13. 13.HCF of 21 and 35 =
  14. 14.HCF of 48 and 104 =
  15. 15.HCF of 12 and 40 =
  16. 16.HCF of 125 and 100 =
  17. 17.HCF of 10 and 8 =
  18. 18.HCF of 133 and 171 =
  19. 19.HCF of 63 and 168 =
  20. 20.HCF of 208 and 288 =
  21. 21.HCF of 28 and 10 =
  22. 22.HCF of 96 and 312 =
  23. 23.HCF of 51 and 221 =
  24. 24.HCF of 30 and 225 =
  25. 25.HCF of 96 and 102 =
  26. 26.HCF of 112 and 96 =
  27. 27.HCF of 48 and 20 =
  28. 28.HCF of 95 and 40 =
  29. 29.HCF of 98 and 280 =
  30. 30.HCF of 32 and 304 =
  31. 31.HCF of 272 and 176 =
  32. 32.HCF of 44 and 286 =
  33. 33.HCF of 110 and 264 =
  34. 34.HCF of 260 and 300 =
  35. 35.HCF of 361 and 95 =
  36. 36.HCF of 72 and 48 =
  37. 37.HCF of 42 and 399 =
  38. 38.HCF of 77 and 55 =
  39. 39.HCF of 8 and 34 =
  40. 40.HCF of 45 and 60 =

Answer key

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

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