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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 134 · 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 4 and 10 =
  2. 2.HCF of 80 and 36 =
  3. 3.HCF of 260 and 143 =
  4. 4.HCF of 399 and 378 =
  5. 5.HCF of 80 and 152 =
  6. 6.HCF of 161 and 253 =
  7. 7.HCF of 221 and 65 =
  8. 8.HCF of 225 and 275 =
  9. 9.HCF of 15 and 10 =
  10. 10.HCF of 171 and 247 =
  11. 11.HCF of 44 and 418 =
  12. 12.HCF of 216 and 408 =
  13. 13.HCF of 323 and 34 =
  14. 14.HCF of 6 and 21 =
  15. 15.HCF of 24 and 20 =
  16. 16.HCF of 42 and 30 =
  17. 17.HCF of 324 and 90 =
  18. 18.HCF of 312 and 240 =
  19. 19.HCF of 400 and 475 =
  20. 20.HCF of 96 and 204 =
  21. 21.HCF of 112 and 70 =
  22. 22.HCF of 85 and 60 =
  23. 23.HCF of 252 and 238 =
  24. 24.HCF of 72 and 153 =
  25. 25.HCF of 40 and 70 =
  26. 26.HCF of 152 and 32 =
  27. 27.HCF of 152 and 72 =
  28. 28.HCF of 285 and 105 =
  29. 29.HCF of 45 and 35 =
  30. 30.HCF of 9 and 60 =
  31. 31.HCF of 204 and 180 =
  32. 32.HCF of 143 and 22 =
  33. 33.HCF of 54 and 63 =
  34. 34.HCF of 72 and 48 =
  35. 35.HCF of 51 and 57 =
  36. 36.HCF of 180 and 105 =
  37. 37.HCF of 414 and 253 =
  38. 38.HCF of 231 and 105 =
  39. 39.HCF of 425 and 150 =
  40. 40.HCF of 306 and 90 =

Answer key

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

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