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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 506 · 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 216 and 48 =
  2. 2.HCF of 143 and 44 =
  3. 3.HCF of 121 and 198 =
  4. 4.HCF of 56 and 105 =
  5. 5.HCF of 280 and 260 =
  6. 6.HCF of 135 and 165 =
  7. 7.HCF of 169 and 195 =
  8. 8.HCF of 88 and 209 =
  9. 9.HCF of 90 and 42 =
  10. 10.HCF of 128 and 144 =
  11. 11.HCF of 104 and 144 =
  12. 12.HCF of 80 and 130 =
  13. 13.HCF of 57 and 361 =
  14. 14.HCF of 247 and 38 =
  15. 15.HCF of 170 and 80 =
  16. 16.HCF of 272 and 288 =
  17. 17.HCF of 133 and 140 =
  18. 18.HCF of 299 and 69 =
  19. 19.HCF of 64 and 112 =
  20. 20.HCF of 52 and 28 =
  21. 21.HCF of 18 and 42 =
  22. 22.HCF of 102 and 18 =
  23. 23.HCF of 312 and 264 =
  24. 24.HCF of 300 and 45 =
  25. 25.HCF of 210 and 28 =
  26. 26.HCF of 18 and 135 =
  27. 27.HCF of 192 and 84 =
  28. 28.HCF of 60 and 190 =
  29. 29.HCF of 143 and 220 =
  30. 30.HCF of 14 and 63 =
  31. 31.HCF of 144 and 198 =
  32. 32.HCF of 88 and 374 =
  33. 33.HCF of 24 and 204 =
  34. 34.HCF of 242 and 88 =
  35. 35.HCF of 45 and 95 =
  36. 36.HCF of 95 and 35 =
  37. 37.HCF of 162 and 72 =
  38. 38.HCF of 72 and 228 =
  39. 39.HCF of 15 and 21 =
  40. 40.HCF of 247 and 76 =

Answer key

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

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