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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 304 · 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 72 and 456 =
  2. 2.HCF of 34 and 24 =
  3. 3.HCF of 266 and 224 =
  4. 4.HCF of 276 and 299 =
  5. 5.HCF of 60 and 32 =
  6. 6.HCF of 266 and 361 =
  7. 7.HCF of 28 and 64 =
  8. 8.HCF of 132 and 143 =
  9. 9.HCF of 60 and 156 =
  10. 10.HCF of 64 and 144 =
  11. 11.HCF of 48 and 15 =
  12. 12.HCF of 408 and 192 =
  13. 13.HCF of 30 and 34 =
  14. 14.HCF of 60 and 70 =
  15. 15.HCF of 190 and 133 =
  16. 16.HCF of 240 and 312 =
  17. 17.HCF of 91 and 98 =
  18. 18.HCF of 154 and 396 =
  19. 19.HCF of 165 and 45 =
  20. 20.HCF of 28 and 48 =
  21. 21.HCF of 50 and 30 =
  22. 22.HCF of 57 and 15 =
  23. 23.HCF of 221 and 78 =
  24. 24.HCF of 192 and 84 =
  25. 25.HCF of 300 and 125 =
  26. 26.HCF of 266 and 182 =
  27. 27.HCF of 65 and 30 =
  28. 28.HCF of 255 and 238 =
  29. 29.HCF of 44 and 68 =
  30. 30.HCF of 39 and 65 =
  31. 31.HCF of 90 and 80 =
  32. 32.HCF of 68 and 51 =
  33. 33.HCF of 42 and 105 =
  34. 34.HCF of 24 and 36 =
  35. 35.HCF of 374 and 418 =
  36. 36.HCF of 208 and 96 =
  37. 37.HCF of 125 and 425 =
  38. 38.HCF of 210 and 255 =
  39. 39.HCF of 24 and 160 =
  40. 40.HCF of 220 and 40 =

Answer key

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

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