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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 219 · 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 128 and 136 =
  2. 2.HCF of 30 and 34 =
  3. 3.HCF of 91 and 39 =
  4. 4.HCF of 96 and 72 =
  5. 5.HCF of 69 and 92 =
  6. 6.HCF of 140 and 100 =
  7. 7.HCF of 320 and 300 =
  8. 8.HCF of 10 and 18 =
  9. 9.HCF of 208 and 272 =
  10. 10.HCF of 322 and 69 =
  11. 11.HCF of 45 and 285 =
  12. 12.HCF of 70 and 180 =
  13. 13.HCF of 240 and 168 =
  14. 14.HCF of 91 and 140 =
  15. 15.HCF of 270 and 126 =
  16. 16.HCF of 170 and 120 =
  17. 17.HCF of 35 and 25 =
  18. 18.HCF of 140 and 91 =
  19. 19.HCF of 32 and 240 =
  20. 20.HCF of 216 and 60 =
  21. 21.HCF of 66 and 90 =
  22. 22.HCF of 175 and 50 =
  23. 23.HCF of 132 and 108 =
  24. 24.HCF of 322 and 437 =
  25. 25.HCF of 80 and 65 =
  26. 26.HCF of 34 and 16 =
  27. 27.HCF of 15 and 70 =
  28. 28.HCF of 60 and 204 =
  29. 29.HCF of 480 and 168 =
  30. 30.HCF of 425 and 250 =
  31. 31.HCF of 80 and 130 =
  32. 32.HCF of 130 and 39 =
  33. 33.HCF of 90 and 66 =
  34. 34.HCF of 85 and 55 =
  35. 35.HCF of 162 and 288 =
  36. 36.HCF of 60 and 42 =
  37. 37.HCF of 68 and 32 =
  38. 38.HCF of 112 and 160 =
  39. 39.HCF of 84 and 238 =
  40. 40.HCF of 323 and 51 =

Answer key

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

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