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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 671 · 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 66 and 60 =
  2. 2.HCF of 144 and 306 =
  3. 3.HCF of 361 and 247 =
  4. 4.HCF of 30 and 190 =
  5. 5.HCF of 361 and 209 =
  6. 6.HCF of 96 and 208 =
  7. 7.HCF of 56 and 77 =
  8. 8.HCF of 374 and 352 =
  9. 9.HCF of 100 and 475 =
  10. 10.HCF of 8 and 30 =
  11. 11.HCF of 63 and 81 =
  12. 12.HCF of 45 and 80 =
  13. 13.HCF of 144 and 126 =
  14. 14.HCF of 340 and 51 =
  15. 15.HCF of 180 and 260 =
  16. 16.HCF of 8 and 10 =
  17. 17.HCF of 38 and 30 =
  18. 18.HCF of 252 and 273 =
  19. 19.HCF of 33 and 57 =
  20. 20.HCF of 51 and 42 =
  21. 21.HCF of 35 and 21 =
  22. 22.HCF of 32 and 88 =
  23. 23.HCF of 408 and 480 =
  24. 24.HCF of 266 and 285 =
  25. 25.HCF of 44 and 55 =
  26. 26.HCF of 456 and 144 =
  27. 27.HCF of 21 and 51 =
  28. 28.HCF of 60 and 380 =
  29. 29.HCF of 72 and 192 =
  30. 30.HCF of 255 and 285 =
  31. 31.HCF of 28 and 18 =
  32. 32.HCF of 48 and 36 =
  33. 33.HCF of 270 and 255 =
  34. 34.HCF of 90 and 160 =
  35. 35.HCF of 30 and 285 =
  36. 36.HCF of 50 and 160 =
  37. 37.HCF of 27 and 57 =
  38. 38.HCF of 30 and 25 =
  39. 39.HCF of 15 and 40 =
  40. 40.HCF of 253 and 138 =

Answer key

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

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