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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 602 · 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 242 and 286 =
  2. 2.HCF of 102 and 60 =
  3. 3.HCF of 308 and 374 =
  4. 4.HCF of 169 and 78 =
  5. 5.HCF of 56 and 36 =
  6. 6.HCF of 221 and 208 =
  7. 7.HCF of 60 and 105 =
  8. 8.HCF of 184 and 207 =
  9. 9.HCF of 21 and 35 =
  10. 10.HCF of 418 and 308 =
  11. 11.HCF of 162 and 126 =
  12. 12.HCF of 10 and 34 =
  13. 13.HCF of 160 and 380 =
  14. 14.HCF of 63 and 153 =
  15. 15.HCF of 418 and 220 =
  16. 16.HCF of 255 and 300 =
  17. 17.HCF of 210 and 189 =
  18. 18.HCF of 51 and 48 =
  19. 19.HCF of 18 and 28 =
  20. 20.HCF of 44 and 121 =
  21. 21.HCF of 32 and 34 =
  22. 22.HCF of 18 and 42 =
  23. 23.HCF of 98 and 182 =
  24. 24.HCF of 57 and 6 =
  25. 25.HCF of 49 and 84 =
  26. 26.HCF of 45 and 6 =
  27. 27.HCF of 273 and 231 =
  28. 28.HCF of 273 and 189 =
  29. 29.HCF of 48 and 304 =
  30. 30.HCF of 42 and 102 =
  31. 31.HCF of 240 and 176 =
  32. 32.HCF of 16 and 88 =
  33. 33.HCF of 260 and 117 =
  34. 34.HCF of 68 and 44 =
  35. 35.HCF of 44 and 143 =
  36. 36.HCF of 240 and 72 =
  37. 37.HCF of 77 and 70 =
  38. 38.HCF of 24 and 60 =
  39. 39.HCF of 147 and 126 =
  40. 40.HCF of 100 and 40 =

Answer key

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

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