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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 980 · 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 24 and 22 =
  2. 2.HCF of 44 and 16 =
  3. 3.HCF of 160 and 150 =
  4. 4.HCF of 96 and 42 =
  5. 5.HCF of 40 and 190 =
  6. 6.HCF of 304 and 112 =
  7. 7.HCF of 160 and 60 =
  8. 8.HCF of 60 and 280 =
  9. 9.HCF of 95 and 323 =
  10. 10.HCF of 312 and 144 =
  11. 11.HCF of 84 and 399 =
  12. 12.HCF of 48 and 176 =
  13. 13.HCF of 72 and 171 =
  14. 14.HCF of 361 and 247 =
  15. 15.HCF of 80 and 256 =
  16. 16.HCF of 240 and 75 =
  17. 17.HCF of 112 and 152 =
  18. 18.HCF of 253 and 207 =
  19. 19.HCF of 340 and 360 =
  20. 20.HCF of 357 and 273 =
  21. 21.HCF of 190 and 361 =
  22. 22.HCF of 60 and 85 =
  23. 23.HCF of 150 and 160 =
  24. 24.HCF of 18 and 12 =
  25. 25.HCF of 24 and 36 =
  26. 26.HCF of 34 and 14 =
  27. 27.HCF of 170 and 289 =
  28. 28.HCF of 264 and 360 =
  29. 29.HCF of 51 and 6 =
  30. 30.HCF of 100 and 120 =
  31. 31.HCF of 84 and 63 =
  32. 32.HCF of 95 and 266 =
  33. 33.HCF of 165 and 210 =
  34. 34.HCF of 160 and 30 =
  35. 35.HCF of 76 and 40 =
  36. 36.HCF of 44 and 110 =
  37. 37.HCF of 42 and 399 =
  38. 38.HCF of 18 and 27 =
  39. 39.HCF of 38 and 10 =
  40. 40.HCF of 80 and 180 =

Answer key

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

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