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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 614 · 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 35 and 63 =
  2. 2.HCF of 275 and 325 =
  3. 3.HCF of 108 and 342 =
  4. 4.HCF of 136 and 51 =
  5. 5.HCF of 36 and 60 =
  6. 6.HCF of 160 and 60 =
  7. 7.HCF of 152 and 24 =
  8. 8.HCF of 28 and 126 =
  9. 9.HCF of 325 and 475 =
  10. 10.HCF of 72 and 312 =
  11. 11.HCF of 384 and 120 =
  12. 12.HCF of 30 and 24 =
  13. 13.HCF of 187 and 154 =
  14. 14.HCF of 85 and 45 =
  15. 15.HCF of 56 and 21 =
  16. 16.HCF of 143 and 165 =
  17. 17.HCF of 42 and 273 =
  18. 18.HCF of 110 and 209 =
  19. 19.HCF of 325 and 100 =
  20. 20.HCF of 128 and 120 =
  21. 21.HCF of 32 and 112 =
  22. 22.HCF of 380 and 40 =
  23. 23.HCF of 48 and 40 =
  24. 24.HCF of 75 and 195 =
  25. 25.HCF of 119 and 63 =
  26. 26.HCF of 8 and 10 =
  27. 27.HCF of 42 and 119 =
  28. 28.HCF of 42 and 357 =
  29. 29.HCF of 144 and 40 =
  30. 30.HCF of 154 and 238 =
  31. 31.HCF of 210 and 98 =
  32. 32.HCF of 153 and 99 =
  33. 33.HCF of 44 and 165 =
  34. 34.HCF of 18 and 57 =
  35. 35.HCF of 112 and 40 =
  36. 36.HCF of 357 and 420 =
  37. 37.HCF of 8 and 6 =
  38. 38.HCF of 117 and 18 =
  39. 39.HCF of 24 and 76 =
  40. 40.HCF of 38 and 12 =

Answer key

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

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