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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 777 · 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 170 and 119 =
  2. 2.HCF of 323 and 114 =
  3. 3.HCF of 9 and 21 =
  4. 4.HCF of 30 and 45 =
  5. 5.HCF of 80 and 88 =
  6. 6.HCF of 12 and 33 =
  7. 7.HCF of 88 and 55 =
  8. 8.HCF of 260 and 60 =
  9. 9.HCF of 16 and 52 =
  10. 10.HCF of 45 and 100 =
  11. 11.HCF of 44 and 66 =
  12. 12.HCF of 35 and 49 =
  13. 13.HCF of 336 and 408 =
  14. 14.HCF of 120 and 66 =
  15. 15.HCF of 220 and 187 =
  16. 16.HCF of 228 and 84 =
  17. 17.HCF of 60 and 21 =
  18. 18.HCF of 425 and 375 =
  19. 19.HCF of 125 and 50 =
  20. 20.HCF of 152 and 16 =
  21. 21.HCF of 216 and 408 =
  22. 22.HCF of 9 and 24 =
  23. 23.HCF of 110 and 418 =
  24. 24.HCF of 175 and 425 =
  25. 25.HCF of 96 and 88 =
  26. 26.HCF of 66 and 90 =
  27. 27.HCF of 133 and 56 =
  28. 28.HCF of 171 and 63 =
  29. 29.HCF of 65 and 156 =
  30. 30.HCF of 182 and 252 =
  31. 31.HCF of 380 and 323 =
  32. 32.HCF of 224 and 144 =
  33. 33.HCF of 456 and 384 =
  34. 34.HCF of 130 and 169 =
  35. 35.HCF of 45 and 24 =
  36. 36.HCF of 147 and 168 =
  37. 37.HCF of 234 and 65 =
  38. 38.HCF of 117 and 26 =
  39. 39.HCF of 60 and 114 =
  40. 40.HCF of 57 and 21 =

Answer key

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

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