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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 224 · 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 399 and 315 =
  2. 2.HCF of 104 and 48 =
  3. 3.HCF of 14 and 35 =
  4. 4.HCF of 143 and 130 =
  5. 5.HCF of 54 and 42 =
  6. 6.HCF of 24 and 27 =
  7. 7.HCF of 323 and 190 =
  8. 8.HCF of 144 and 208 =
  9. 9.HCF of 143 and 169 =
  10. 10.HCF of 72 and 66 =
  11. 11.HCF of 28 and 22 =
  12. 12.HCF of 136 and 187 =
  13. 13.HCF of 40 and 12 =
  14. 14.HCF of 180 and 228 =
  15. 15.HCF of 96 and 78 =
  16. 16.HCF of 143 and 117 =
  17. 17.HCF of 168 and 120 =
  18. 18.HCF of 32 and 38 =
  19. 19.HCF of 75 and 50 =
  20. 20.HCF of 306 and 187 =
  21. 21.HCF of 88 and 66 =
  22. 22.HCF of 160 and 88 =
  23. 23.HCF of 15 and 39 =
  24. 24.HCF of 117 and 180 =
  25. 25.HCF of 306 and 180 =
  26. 26.HCF of 345 and 161 =
  27. 27.HCF of 102 and 18 =
  28. 28.HCF of 36 and 48 =
  29. 29.HCF of 121 and 55 =
  30. 30.HCF of 273 and 231 =
  31. 31.HCF of 288 and 264 =
  32. 32.HCF of 72 and 90 =
  33. 33.HCF of 264 and 110 =
  34. 34.HCF of 99 and 153 =
  35. 35.HCF of 60 and 168 =
  36. 36.HCF of 48 and 180 =
  37. 37.HCF of 45 and 85 =
  38. 38.HCF of 28 and 98 =
  39. 39.HCF of 80 and 36 =
  40. 40.HCF of 65 and 70 =

Answer key

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

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