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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 44 · 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 162 and 36 =
  2. 2.HCF of 100 and 125 =
  3. 3.HCF of 340 and 289 =
  4. 4.HCF of 252 and 357 =
  5. 5.HCF of 198 and 286 =
  6. 6.HCF of 190 and 100 =
  7. 7.HCF of 30 and 160 =
  8. 8.HCF of 189 and 210 =
  9. 9.HCF of 40 and 220 =
  10. 10.HCF of 60 and 85 =
  11. 11.HCF of 12 and 56 =
  12. 12.HCF of 18 and 8 =
  13. 13.HCF of 231 and 42 =
  14. 14.HCF of 280 and 100 =
  15. 15.HCF of 12 and 22 =
  16. 16.HCF of 132 and 228 =
  17. 17.HCF of 475 and 175 =
  18. 18.HCF of 323 and 272 =
  19. 19.HCF of 77 and 21 =
  20. 20.HCF of 51 and 68 =
  21. 21.HCF of 140 and 320 =
  22. 22.HCF of 26 and 14 =
  23. 23.HCF of 40 and 44 =
  24. 24.HCF of 56 and 49 =
  25. 25.HCF of 399 and 147 =
  26. 26.HCF of 336 and 72 =
  27. 27.HCF of 289 and 323 =
  28. 28.HCF of 56 and 16 =
  29. 29.HCF of 56 and 20 =
  30. 30.HCF of 55 and 75 =
  31. 31.HCF of 40 and 260 =
  32. 32.HCF of 165 and 210 =
  33. 33.HCF of 125 and 400 =
  34. 34.HCF of 30 and 45 =
  35. 35.HCF of 153 and 144 =
  36. 36.HCF of 288 and 162 =
  37. 37.HCF of 69 and 161 =
  38. 38.HCF of 30 and 38 =
  39. 39.HCF of 286 and 44 =
  40. 40.HCF of 128 and 272 =

Answer key

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

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