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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 427 · 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 65 and 156 =
  2. 2.HCF of 36 and 78 =
  3. 3.HCF of 102 and 90 =
  4. 4.HCF of 260 and 117 =
  5. 5.HCF of 288 and 408 =
  6. 6.HCF of 72 and 30 =
  7. 7.HCF of 46 and 437 =
  8. 8.HCF of 32 and 40 =
  9. 9.HCF of 285 and 209 =
  10. 10.HCF of 247 and 91 =
  11. 11.HCF of 456 and 408 =
  12. 12.HCF of 102 and 85 =
  13. 13.HCF of 40 and 25 =
  14. 14.HCF of 54 and 120 =
  15. 15.HCF of 475 and 175 =
  16. 16.HCF of 92 and 69 =
  17. 17.HCF of 156 and 169 =
  18. 18.HCF of 456 and 144 =
  19. 19.HCF of 240 and 135 =
  20. 20.HCF of 18 and 57 =
  21. 21.HCF of 90 and 63 =
  22. 22.HCF of 360 and 384 =
  23. 23.HCF of 120 and 110 =
  24. 24.HCF of 240 and 208 =
  25. 25.HCF of 399 and 189 =
  26. 26.HCF of 57 and 133 =
  27. 27.HCF of 480 and 312 =
  28. 28.HCF of 418 and 110 =
  29. 29.HCF of 418 and 374 =
  30. 30.HCF of 114 and 60 =
  31. 31.HCF of 187 and 220 =
  32. 32.HCF of 143 and 77 =
  33. 33.HCF of 154 and 352 =
  34. 34.HCF of 51 and 136 =
  35. 35.HCF of 120 and 102 =
  36. 36.HCF of 132 and 84 =
  37. 37.HCF of 210 and 154 =
  38. 38.HCF of 56 and 96 =
  39. 39.HCF of 77 and 66 =
  40. 40.HCF of 64 and 12 =

Answer key

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

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