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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 701 · 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 133 and 70 =
  2. 2.HCF of 56 and 35 =
  3. 3.HCF of 168 and 432 =
  4. 4.HCF of 69 and 322 =
  5. 5.HCF of 308 and 110 =
  6. 6.HCF of 221 and 234 =
  7. 7.HCF of 180 and 96 =
  8. 8.HCF of 30 and 255 =
  9. 9.HCF of 128 and 176 =
  10. 10.HCF of 90 and 114 =
  11. 11.HCF of 69 and 368 =
  12. 12.HCF of 324 and 306 =
  13. 13.HCF of 342 and 36 =
  14. 14.HCF of 105 and 30 =
  15. 15.HCF of 88 and 154 =
  16. 16.HCF of 286 and 308 =
  17. 17.HCF of 114 and 66 =
  18. 18.HCF of 80 and 50 =
  19. 19.HCF of 176 and 128 =
  20. 20.HCF of 90 and 25 =
  21. 21.HCF of 189 and 147 =
  22. 22.HCF of 75 and 70 =
  23. 23.HCF of 105 and 294 =
  24. 24.HCF of 143 and 39 =
  25. 25.HCF of 176 and 154 =
  26. 26.HCF of 99 and 154 =
  27. 27.HCF of 49 and 14 =
  28. 28.HCF of 152 and 323 =
  29. 29.HCF of 144 and 90 =
  30. 30.HCF of 39 and 51 =
  31. 31.HCF of 306 and 342 =
  32. 32.HCF of 16 and 88 =
  33. 33.HCF of 30 and 51 =
  34. 34.HCF of 60 and 216 =
  35. 35.HCF of 24 and 36 =
  36. 36.HCF of 108 and 120 =
  37. 37.HCF of 64 and 60 =
  38. 38.HCF of 152 and 72 =
  39. 39.HCF of 153 and 144 =
  40. 40.HCF of 40 and 75 =

Answer key

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

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