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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 312 · 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 38 and 40 =
  2. 2.HCF of 63 and 210 =
  3. 3.HCF of 110 and 33 =
  4. 4.HCF of 136 and 24 =
  5. 5.HCF of 21 and 57 =
  6. 6.HCF of 42 and 24 =
  7. 7.HCF of 256 and 208 =
  8. 8.HCF of 160 and 136 =
  9. 9.HCF of 285 and 304 =
  10. 10.HCF of 88 and 209 =
  11. 11.HCF of 75 and 100 =
  12. 12.HCF of 208 and 64 =
  13. 13.HCF of 44 and 68 =
  14. 14.HCF of 240 and 260 =
  15. 15.HCF of 280 and 100 =
  16. 16.HCF of 22 and 16 =
  17. 17.HCF of 27 and 48 =
  18. 18.HCF of 8 and 18 =
  19. 19.HCF of 88 and 136 =
  20. 20.HCF of 40 and 38 =
  21. 21.HCF of 143 and 132 =
  22. 22.HCF of 171 and 361 =
  23. 23.HCF of 28 and 63 =
  24. 24.HCF of 45 and 10 =
  25. 25.HCF of 500 and 475 =
  26. 26.HCF of 77 and 28 =
  27. 27.HCF of 209 and 38 =
  28. 28.HCF of 28 and 20 =
  29. 29.HCF of 99 and 18 =
  30. 30.HCF of 32 and 208 =
  31. 31.HCF of 184 and 437 =
  32. 32.HCF of 91 and 56 =
  33. 33.HCF of 273 and 378 =
  34. 34.HCF of 210 and 238 =
  35. 35.HCF of 115 and 69 =
  36. 36.HCF of 16 and 20 =
  37. 37.HCF of 242 and 308 =
  38. 38.HCF of 75 and 425 =
  39. 39.HCF of 140 and 360 =
  40. 40.HCF of 289 and 119 =

Answer key

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

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