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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 961 · 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 35 and 14 =
  2. 2.HCF of 84 and 72 =
  3. 3.HCF of 228 and 36 =
  4. 4.HCF of 414 and 437 =
  5. 5.HCF of 63 and 336 =
  6. 6.HCF of 55 and 65 =
  7. 7.HCF of 56 and 12 =
  8. 8.HCF of 266 and 84 =
  9. 9.HCF of 70 and 100 =
  10. 10.HCF of 152 and 171 =
  11. 11.HCF of 48 and 54 =
  12. 12.HCF of 320 and 260 =
  13. 13.HCF of 46 and 115 =
  14. 14.HCF of 152 and 88 =
  15. 15.HCF of 375 and 175 =
  16. 16.HCF of 60 and 33 =
  17. 17.HCF of 120 and 260 =
  18. 18.HCF of 264 and 110 =
  19. 19.HCF of 192 and 264 =
  20. 20.HCF of 28 and 44 =
  21. 21.HCF of 323 and 289 =
  22. 22.HCF of 30 and 57 =
  23. 23.HCF of 323 and 204 =
  24. 24.HCF of 65 and 55 =
  25. 25.HCF of 99 and 22 =
  26. 26.HCF of 56 and 266 =
  27. 27.HCF of 161 and 276 =
  28. 28.HCF of 68 and 80 =
  29. 29.HCF of 306 and 108 =
  30. 30.HCF of 323 and 342 =
  31. 31.HCF of 120 and 72 =
  32. 32.HCF of 437 and 253 =
  33. 33.HCF of 110 and 176 =
  34. 34.HCF of 57 and 15 =
  35. 35.HCF of 48 and 51 =
  36. 36.HCF of 69 and 322 =
  37. 37.HCF of 14 and 63 =
  38. 38.HCF of 6 and 40 =
  39. 39.HCF of 28 and 266 =
  40. 40.HCF of 105 and 112 =

Answer key

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

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