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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 30 · 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 120 and 312 =
  2. 2.HCF of 95 and 209 =
  3. 3.HCF of 75 and 255 =
  4. 4.HCF of 44 and 165 =
  5. 5.HCF of 117 and 171 =
  6. 6.HCF of 200 and 180 =
  7. 7.HCF of 169 and 234 =
  8. 8.HCF of 220 and 340 =
  9. 9.HCF of 57 and 54 =
  10. 10.HCF of 24 and 136 =
  11. 11.HCF of 154 and 209 =
  12. 12.HCF of 56 and 72 =
  13. 13.HCF of 252 and 198 =
  14. 14.HCF of 54 and 12 =
  15. 15.HCF of 24 and 42 =
  16. 16.HCF of 75 and 35 =
  17. 17.HCF of 20 and 150 =
  18. 18.HCF of 242 and 198 =
  19. 19.HCF of 28 and 34 =
  20. 20.HCF of 65 and 143 =
  21. 21.HCF of 72 and 16 =
  22. 22.HCF of 420 and 399 =
  23. 23.HCF of 55 and 22 =
  24. 24.HCF of 391 and 414 =
  25. 25.HCF of 36 and 56 =
  26. 26.HCF of 128 and 208 =
  27. 27.HCF of 80 and 65 =
  28. 28.HCF of 184 and 437 =
  29. 29.HCF of 12 and 33 =
  30. 30.HCF of 195 and 30 =
  31. 31.HCF of 88 and 242 =
  32. 32.HCF of 9 and 21 =
  33. 33.HCF of 4 and 22 =
  34. 34.HCF of 147 and 252 =
  35. 35.HCF of 150 and 140 =
  36. 36.HCF of 20 and 65 =
  37. 37.HCF of 90 and 35 =
  38. 38.HCF of 110 and 121 =
  39. 39.HCF of 18 and 30 =
  40. 40.HCF of 21 and 35 =

Answer key

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

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