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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 97 · 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 234 and 36 =
  2. 2.HCF of 45 and 210 =
  3. 3.HCF of 16 and 40 =
  4. 4.HCF of 25 and 20 =
  5. 5.HCF of 192 and 228 =
  6. 6.HCF of 30 and 26 =
  7. 7.HCF of 40 and 56 =
  8. 8.HCF of 171 and 38 =
  9. 9.HCF of 72 and 114 =
  10. 10.HCF of 253 and 115 =
  11. 11.HCF of 126 and 28 =
  12. 12.HCF of 15 and 18 =
  13. 13.HCF of 50 and 170 =
  14. 14.HCF of 360 and 340 =
  15. 15.HCF of 33 and 9 =
  16. 16.HCF of 63 and 18 =
  17. 17.HCF of 126 and 108 =
  18. 18.HCF of 39 and 36 =
  19. 19.HCF of 273 and 399 =
  20. 20.HCF of 198 and 143 =
  21. 21.HCF of 40 and 100 =
  22. 22.HCF of 60 and 68 =
  23. 23.HCF of 56 and 96 =
  24. 24.HCF of 209 and 114 =
  25. 25.HCF of 66 and 220 =
  26. 26.HCF of 75 and 45 =
  27. 27.HCF of 182 and 126 =
  28. 28.HCF of 68 and 20 =
  29. 29.HCF of 36 and 342 =
  30. 30.HCF of 114 and 30 =
  31. 31.HCF of 156 and 24 =
  32. 32.HCF of 210 and 56 =
  33. 33.HCF of 60 and 48 =
  34. 34.HCF of 306 and 342 =
  35. 35.HCF of 242 and 176 =
  36. 36.HCF of 132 and 60 =
  37. 37.HCF of 80 and 176 =
  38. 38.HCF of 110 and 242 =
  39. 39.HCF of 325 and 375 =
  40. 40.HCF of 55 and 33 =

Answer key

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

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