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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 994 · 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 119 and 63 =
  2. 2.HCF of 130 and 117 =
  3. 3.HCF of 300 and 475 =
  4. 4.HCF of 117 and 26 =
  5. 5.HCF of 391 and 322 =
  6. 6.HCF of 187 and 221 =
  7. 7.HCF of 304 and 96 =
  8. 8.HCF of 288 and 306 =
  9. 9.HCF of 105 and 90 =
  10. 10.HCF of 220 and 187 =
  11. 11.HCF of 286 and 418 =
  12. 12.HCF of 252 and 198 =
  13. 13.HCF of 323 and 171 =
  14. 14.HCF of 70 and 21 =
  15. 15.HCF of 121 and 88 =
  16. 16.HCF of 39 and 51 =
  17. 17.HCF of 126 and 216 =
  18. 18.HCF of 48 and 28 =
  19. 19.HCF of 140 and 60 =
  20. 20.HCF of 105 and 165 =
  21. 21.HCF of 119 and 28 =
  22. 22.HCF of 136 and 128 =
  23. 23.HCF of 195 and 143 =
  24. 24.HCF of 18 and 4 =
  25. 25.HCF of 144 and 81 =
  26. 26.HCF of 170 and 323 =
  27. 27.HCF of 144 and 81 =
  28. 28.HCF of 252 and 342 =
  29. 29.HCF of 24 and 128 =
  30. 30.HCF of 69 and 46 =
  31. 31.HCF of 70 and 190 =
  32. 32.HCF of 32 and 68 =
  33. 33.HCF of 210 and 189 =
  34. 34.HCF of 30 and 70 =
  35. 35.HCF of 30 and 165 =
  36. 36.HCF of 323 and 238 =
  37. 37.HCF of 28 and 77 =
  38. 38.HCF of 120 and 112 =
  39. 39.HCF of 299 and 46 =
  40. 40.HCF of 238 and 98 =

Answer key

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

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