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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 934 · 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 168 and 399 =
  2. 2.HCF of 242 and 396 =
  3. 3.HCF of 153 and 171 =
  4. 4.HCF of 75 and 125 =
  5. 5.HCF of 312 and 240 =
  6. 6.HCF of 88 and 77 =
  7. 7.HCF of 132 and 286 =
  8. 8.HCF of 34 and 187 =
  9. 9.HCF of 384 and 72 =
  10. 10.HCF of 46 and 437 =
  11. 11.HCF of 242 and 440 =
  12. 12.HCF of 8 and 6 =
  13. 13.HCF of 228 and 132 =
  14. 14.HCF of 180 and 255 =
  15. 15.HCF of 39 and 169 =
  16. 16.HCF of 375 and 200 =
  17. 17.HCF of 12 and 114 =
  18. 18.HCF of 21 and 133 =
  19. 19.HCF of 12 and 78 =
  20. 20.HCF of 24 and 38 =
  21. 21.HCF of 187 and 51 =
  22. 22.HCF of 55 and 40 =
  23. 23.HCF of 75 and 400 =
  24. 24.HCF of 288 and 90 =
  25. 25.HCF of 280 and 60 =
  26. 26.HCF of 80 and 65 =
  27. 27.HCF of 153 and 170 =
  28. 28.HCF of 88 and 96 =
  29. 29.HCF of 90 and 78 =
  30. 30.HCF of 50 and 475 =
  31. 31.HCF of 65 and 169 =
  32. 32.HCF of 88 and 187 =
  33. 33.HCF of 119 and 68 =
  34. 34.HCF of 289 and 238 =
  35. 35.HCF of 44 and 24 =
  36. 36.HCF of 42 and 63 =
  37. 37.HCF of 238 and 70 =
  38. 38.HCF of 98 and 63 =
  39. 39.HCF of 169 and 104 =
  40. 40.HCF of 18 and 42 =

Answer key

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

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