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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 705 · 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 374 and 66 =
  2. 2.HCF of 128 and 48 =
  3. 3.HCF of 25 and 60 =
  4. 4.HCF of 140 and 30 =
  5. 5.HCF of 165 and 60 =
  6. 6.HCF of 45 and 171 =
  7. 7.HCF of 42 and 33 =
  8. 8.HCF of 112 and 98 =
  9. 9.HCF of 12 and 76 =
  10. 10.HCF of 264 and 480 =
  11. 11.HCF of 117 and 169 =
  12. 12.HCF of 72 and 156 =
  13. 13.HCF of 120 and 152 =
  14. 14.HCF of 247 and 95 =
  15. 15.HCF of 105 and 112 =
  16. 16.HCF of 32 and 20 =
  17. 17.HCF of 84 and 54 =
  18. 18.HCF of 340 and 240 =
  19. 19.HCF of 50 and 40 =
  20. 20.HCF of 68 and 36 =
  21. 21.HCF of 92 and 437 =
  22. 22.HCF of 140 and 40 =
  23. 23.HCF of 4 and 34 =
  24. 24.HCF of 24 and 68 =
  25. 25.HCF of 48 and 320 =
  26. 26.HCF of 252 and 70 =
  27. 27.HCF of 169 and 104 =
  28. 28.HCF of 26 and 10 =
  29. 29.HCF of 168 and 240 =
  30. 30.HCF of 325 and 500 =
  31. 31.HCF of 156 and 168 =
  32. 32.HCF of 175 and 50 =
  33. 33.HCF of 252 and 234 =
  34. 34.HCF of 176 and 143 =
  35. 35.HCF of 33 and 27 =
  36. 36.HCF of 65 and 10 =
  37. 37.HCF of 45 and 20 =
  38. 38.HCF of 312 and 384 =
  39. 39.HCF of 63 and 399 =
  40. 40.HCF of 20 and 76 =

Answer key

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

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