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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 954 · 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 90 and 84 =
  2. 2.HCF of 121 and 77 =
  3. 3.HCF of 121 and 143 =
  4. 4.HCF of 21 and 77 =
  5. 5.HCF of 247 and 234 =
  6. 6.HCF of 360 and 260 =
  7. 7.HCF of 88 and 55 =
  8. 8.HCF of 30 and 40 =
  9. 9.HCF of 437 and 460 =
  10. 10.HCF of 66 and 12 =
  11. 11.HCF of 304 and 48 =
  12. 12.HCF of 55 and 10 =
  13. 13.HCF of 336 and 231 =
  14. 14.HCF of 140 and 40 =
  15. 15.HCF of 132 and 168 =
  16. 16.HCF of 144 and 208 =
  17. 17.HCF of 140 and 90 =
  18. 18.HCF of 260 and 200 =
  19. 19.HCF of 380 and 140 =
  20. 20.HCF of 60 and 70 =
  21. 21.HCF of 289 and 238 =
  22. 22.HCF of 144 and 312 =
  23. 23.HCF of 120 and 432 =
  24. 24.HCF of 75 and 85 =
  25. 25.HCF of 391 and 345 =
  26. 26.HCF of 352 and 374 =
  27. 27.HCF of 140 and 130 =
  28. 28.HCF of 15 and 39 =
  29. 29.HCF of 91 and 112 =
  30. 30.HCF of 399 and 42 =
  31. 31.HCF of 187 and 121 =
  32. 32.HCF of 22 and 55 =
  33. 33.HCF of 8 and 18 =
  34. 34.HCF of 49 and 140 =
  35. 35.HCF of 152 and 171 =
  36. 36.HCF of 63 and 144 =
  37. 37.HCF of 170 and 30 =
  38. 38.HCF of 198 and 54 =
  39. 39.HCF of 120 and 132 =
  40. 40.HCF of 80 and 192 =

Answer key

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

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