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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 720 · 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 330 and 44 =
  2. 2.HCF of 48 and 60 =
  3. 3.HCF of 44 and 80 =
  4. 4.HCF of 63 and 56 =
  5. 5.HCF of 33 and 30 =
  6. 6.HCF of 120 and 312 =
  7. 7.HCF of 342 and 36 =
  8. 8.HCF of 425 and 375 =
  9. 9.HCF of 84 and 180 =
  10. 10.HCF of 162 and 171 =
  11. 11.HCF of 104 and 160 =
  12. 12.HCF of 126 and 36 =
  13. 13.HCF of 9 and 42 =
  14. 14.HCF of 380 and 160 =
  15. 15.HCF of 160 and 50 =
  16. 16.HCF of 266 and 209 =
  17. 17.HCF of 209 and 66 =
  18. 18.HCF of 88 and 66 =
  19. 19.HCF of 40 and 36 =
  20. 20.HCF of 42 and 108 =
  21. 21.HCF of 240 and 100 =
  22. 22.HCF of 247 and 208 =
  23. 23.HCF of 33 and 110 =
  24. 24.HCF of 40 and 36 =
  25. 25.HCF of 38 and 26 =
  26. 26.HCF of 49 and 21 =
  27. 27.HCF of 65 and 143 =
  28. 28.HCF of 22 and 209 =
  29. 29.HCF of 28 and 12 =
  30. 30.HCF of 204 and 132 =
  31. 31.HCF of 342 and 360 =
  32. 32.HCF of 56 and 160 =
  33. 33.HCF of 143 and 156 =
  34. 34.HCF of 76 and 40 =
  35. 35.HCF of 247 and 156 =
  36. 36.HCF of 24 and 78 =
  37. 37.HCF of 105 and 399 =
  38. 38.HCF of 22 and 26 =
  39. 39.HCF of 360 and 456 =
  40. 40.HCF of 169 and 104 =

Answer key

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

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