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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 541 · 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 220 and 240 =
  2. 2.HCF of 12 and 16 =
  3. 3.HCF of 180 and 170 =
  4. 4.HCF of 242 and 352 =
  5. 5.HCF of 175 and 50 =
  6. 6.HCF of 34 and 30 =
  7. 7.HCF of 24 and 90 =
  8. 8.HCF of 100 and 70 =
  9. 9.HCF of 76 and 64 =
  10. 10.HCF of 285 and 133 =
  11. 11.HCF of 380 and 340 =
  12. 12.HCF of 28 and 35 =
  13. 13.HCF of 15 and 95 =
  14. 14.HCF of 63 and 112 =
  15. 15.HCF of 90 and 200 =
  16. 16.HCF of 221 and 136 =
  17. 17.HCF of 408 and 480 =
  18. 18.HCF of 256 and 144 =
  19. 19.HCF of 425 and 500 =
  20. 20.HCF of 36 and 99 =
  21. 21.HCF of 33 and 220 =
  22. 22.HCF of 240 and 165 =
  23. 23.HCF of 112 and 70 =
  24. 24.HCF of 42 and 182 =
  25. 25.HCF of 190 and 130 =
  26. 26.HCF of 399 and 252 =
  27. 27.HCF of 140 and 170 =
  28. 28.HCF of 255 and 68 =
  29. 29.HCF of 345 and 92 =
  30. 30.HCF of 195 and 247 =
  31. 31.HCF of 18 and 42 =
  32. 32.HCF of 121 and 33 =
  33. 33.HCF of 18 and 12 =
  34. 34.HCF of 110 and 130 =
  35. 35.HCF of 153 and 238 =
  36. 36.HCF of 24 and 228 =
  37. 37.HCF of 46 and 253 =
  38. 38.HCF of 36 and 10 =
  39. 39.HCF of 42 and 70 =
  40. 40.HCF of 54 and 153 =

Answer key

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

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