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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 951 · 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 18 and 84 =
  2. 2.HCF of 40 and 104 =
  3. 3.HCF of 72 and 114 =
  4. 4.HCF of 231 and 336 =
  5. 5.HCF of 10 and 38 =
  6. 6.HCF of 72 and 126 =
  7. 7.HCF of 289 and 85 =
  8. 8.HCF of 136 and 128 =
  9. 9.HCF of 306 and 119 =
  10. 10.HCF of 299 and 253 =
  11. 11.HCF of 168 and 96 =
  12. 12.HCF of 49 and 63 =
  13. 13.HCF of 12 and 30 =
  14. 14.HCF of 69 and 115 =
  15. 15.HCF of 209 and 76 =
  16. 16.HCF of 187 and 176 =
  17. 17.HCF of 72 and 117 =
  18. 18.HCF of 342 and 288 =
  19. 19.HCF of 30 and 8 =
  20. 20.HCF of 380 and 140 =
  21. 21.HCF of 120 and 432 =
  22. 22.HCF of 342 and 270 =
  23. 23.HCF of 70 and 42 =
  24. 24.HCF of 26 and 8 =
  25. 25.HCF of 352 and 198 =
  26. 26.HCF of 108 and 168 =
  27. 27.HCF of 4 and 6 =
  28. 28.HCF of 12 and 28 =
  29. 29.HCF of 378 and 399 =
  30. 30.HCF of 35 and 85 =
  31. 31.HCF of 105 and 147 =
  32. 32.HCF of 247 and 104 =
  33. 33.HCF of 340 and 40 =
  34. 34.HCF of 195 and 165 =
  35. 35.HCF of 380 and 200 =
  36. 36.HCF of 84 and 216 =
  37. 37.HCF of 216 and 126 =
  38. 38.HCF of 144 and 128 =
  39. 39.HCF of 84 and 98 =
  40. 40.HCF of 231 and 168 =

Answer key

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

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