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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 931 · 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 285 and 165 =
  2. 2.HCF of 198 and 72 =
  3. 3.HCF of 70 and 190 =
  4. 4.HCF of 323 and 272 =
  5. 5.HCF of 100 and 260 =
  6. 6.HCF of 36 and 66 =
  7. 7.HCF of 360 and 162 =
  8. 8.HCF of 42 and 66 =
  9. 9.HCF of 176 and 143 =
  10. 10.HCF of 133 and 342 =
  11. 11.HCF of 242 and 308 =
  12. 12.HCF of 247 and 52 =
  13. 13.HCF of 95 and 171 =
  14. 14.HCF of 168 and 120 =
  15. 15.HCF of 135 and 126 =
  16. 16.HCF of 144 and 224 =
  17. 17.HCF of 221 and 119 =
  18. 18.HCF of 24 and 32 =
  19. 19.HCF of 33 and 176 =
  20. 20.HCF of 90 and 252 =
  21. 21.HCF of 35 and 95 =
  22. 22.HCF of 40 and 36 =
  23. 23.HCF of 140 and 300 =
  24. 24.HCF of 132 and 187 =
  25. 25.HCF of 126 and 35 =
  26. 26.HCF of 52 and 56 =
  27. 27.HCF of 27 and 99 =
  28. 28.HCF of 175 and 75 =
  29. 29.HCF of 112 and 128 =
  30. 30.HCF of 189 and 399 =
  31. 31.HCF of 84 and 120 =
  32. 32.HCF of 38 and 28 =
  33. 33.HCF of 253 and 230 =
  34. 34.HCF of 18 and 8 =
  35. 35.HCF of 437 and 138 =
  36. 36.HCF of 165 and 255 =
  37. 37.HCF of 65 and 80 =
  38. 38.HCF of 198 and 88 =
  39. 39.HCF of 80 and 300 =
  40. 40.HCF of 120 and 432 =

Answer key

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

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