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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 265 · 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 270 and 75 =
  2. 2.HCF of 420 and 231 =
  3. 3.HCF of 63 and 14 =
  4. 4.HCF of 286 and 308 =
  5. 5.HCF of 104 and 120 =
  6. 6.HCF of 110 and 132 =
  7. 7.HCF of 340 and 153 =
  8. 8.HCF of 114 and 36 =
  9. 9.HCF of 126 and 98 =
  10. 10.HCF of 39 and 12 =
  11. 11.HCF of 340 and 289 =
  12. 12.HCF of 68 and 51 =
  13. 13.HCF of 110 and 160 =
  14. 14.HCF of 75 and 285 =
  15. 15.HCF of 105 and 49 =
  16. 16.HCF of 90 and 102 =
  17. 17.HCF of 231 and 168 =
  18. 18.HCF of 57 and 247 =
  19. 19.HCF of 135 and 195 =
  20. 20.HCF of 136 and 88 =
  21. 21.HCF of 144 and 171 =
  22. 22.HCF of 323 and 209 =
  23. 23.HCF of 238 and 98 =
  24. 24.HCF of 14 and 10 =
  25. 25.HCF of 130 and 221 =
  26. 26.HCF of 264 and 96 =
  27. 27.HCF of 100 and 160 =
  28. 28.HCF of 26 and 39 =
  29. 29.HCF of 224 and 176 =
  30. 30.HCF of 63 and 77 =
  31. 31.HCF of 144 and 456 =
  32. 32.HCF of 28 and 21 =
  33. 33.HCF of 35 and 20 =
  34. 34.HCF of 289 and 51 =
  35. 35.HCF of 32 and 52 =
  36. 36.HCF of 40 and 95 =
  37. 37.HCF of 119 and 105 =
  38. 38.HCF of 75 and 105 =
  39. 39.HCF of 324 and 126 =
  40. 40.HCF of 114 and 48 =

Answer key

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

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