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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 958 · 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 77 and 28 =
  2. 2.HCF of 198 and 308 =
  3. 3.HCF of 60 and 195 =
  4. 4.HCF of 272 and 80 =
  5. 5.HCF of 9 and 33 =
  6. 6.HCF of 22 and 24 =
  7. 7.HCF of 8 and 52 =
  8. 8.HCF of 225 and 350 =
  9. 9.HCF of 64 and 20 =
  10. 10.HCF of 20 and 36 =
  11. 11.HCF of 140 and 340 =
  12. 12.HCF of 98 and 42 =
  13. 13.HCF of 38 and 20 =
  14. 14.HCF of 135 and 195 =
  15. 15.HCF of 252 and 182 =
  16. 16.HCF of 216 and 48 =
  17. 17.HCF of 96 and 104 =
  18. 18.HCF of 120 and 36 =
  19. 19.HCF of 85 and 51 =
  20. 20.HCF of 126 and 154 =
  21. 21.HCF of 437 and 460 =
  22. 22.HCF of 160 and 170 =
  23. 23.HCF of 238 and 154 =
  24. 24.HCF of 21 and 98 =
  25. 25.HCF of 60 and 130 =
  26. 26.HCF of 456 and 192 =
  27. 27.HCF of 72 and 126 =
  28. 28.HCF of 60 and 228 =
  29. 29.HCF of 70 and 30 =
  30. 30.HCF of 153 and 136 =
  31. 31.HCF of 105 and 60 =
  32. 32.HCF of 324 and 342 =
  33. 33.HCF of 96 and 102 =
  34. 34.HCF of 119 and 34 =
  35. 35.HCF of 161 and 276 =
  36. 36.HCF of 98 and 140 =
  37. 37.HCF of 63 and 14 =
  38. 38.HCF of 39 and 26 =
  39. 39.HCF of 273 and 399 =
  40. 40.HCF of 169 and 143 =

Answer key

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

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