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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 988 · 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 8 and 26 =
  2. 2.HCF of 110 and 374 =
  3. 3.HCF of 294 and 357 =
  4. 4.HCF of 15 and 85 =
  5. 5.HCF of 72 and 102 =
  6. 6.HCF of 198 and 154 =
  7. 7.HCF of 108 and 78 =
  8. 8.HCF of 36 and 68 =
  9. 9.HCF of 138 and 161 =
  10. 10.HCF of 38 and 28 =
  11. 11.HCF of 20 and 64 =
  12. 12.HCF of 30 and 70 =
  13. 13.HCF of 147 and 63 =
  14. 14.HCF of 210 and 56 =
  15. 15.HCF of 52 and 16 =
  16. 16.HCF of 60 and 340 =
  17. 17.HCF of 90 and 81 =
  18. 18.HCF of 15 and 48 =
  19. 19.HCF of 136 and 24 =
  20. 20.HCF of 69 and 460 =
  21. 21.HCF of 42 and 98 =
  22. 22.HCF of 192 and 216 =
  23. 23.HCF of 51 and 36 =
  24. 24.HCF of 221 and 78 =
  25. 25.HCF of 312 and 120 =
  26. 26.HCF of 228 and 84 =
  27. 27.HCF of 28 and 52 =
  28. 28.HCF of 32 and 272 =
  29. 29.HCF of 140 and 119 =
  30. 30.HCF of 40 and 38 =
  31. 31.HCF of 234 and 143 =
  32. 32.HCF of 140 and 77 =
  33. 33.HCF of 456 and 480 =
  34. 34.HCF of 80 and 15 =
  35. 35.HCF of 51 and 18 =
  36. 36.HCF of 28 and 38 =
  37. 37.HCF of 180 and 192 =
  38. 38.HCF of 40 and 144 =
  39. 39.HCF of 375 and 275 =
  40. 40.HCF of 120 and 132 =

Answer key

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

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