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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 68 · 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 160 and 260 =
  2. 2.HCF of 480 and 72 =
  3. 3.HCF of 399 and 126 =
  4. 4.HCF of 110 and 374 =
  5. 5.HCF of 180 and 255 =
  6. 6.HCF of 104 and 88 =
  7. 7.HCF of 66 and 154 =
  8. 8.HCF of 230 and 69 =
  9. 9.HCF of 340 and 60 =
  10. 10.HCF of 54 and 90 =
  11. 11.HCF of 225 and 210 =
  12. 12.HCF of 136 and 48 =
  13. 13.HCF of 42 and 147 =
  14. 14.HCF of 45 and 75 =
  15. 15.HCF of 32 and 104 =
  16. 16.HCF of 400 and 140 =
  17. 17.HCF of 119 and 42 =
  18. 18.HCF of 304 and 176 =
  19. 19.HCF of 28 and 266 =
  20. 20.HCF of 12 and 68 =
  21. 21.HCF of 56 and 98 =
  22. 22.HCF of 255 and 221 =
  23. 23.HCF of 84 and 154 =
  24. 24.HCF of 75 and 45 =
  25. 25.HCF of 95 and 20 =
  26. 26.HCF of 324 and 126 =
  27. 27.HCF of 108 and 90 =
  28. 28.HCF of 144 and 456 =
  29. 29.HCF of 175 and 275 =
  30. 30.HCF of 136 and 104 =
  31. 31.HCF of 128 and 120 =
  32. 32.HCF of 9 and 48 =
  33. 33.HCF of 20 and 6 =
  34. 34.HCF of 208 and 247 =
  35. 35.HCF of 108 and 228 =
  36. 36.HCF of 66 and 286 =
  37. 37.HCF of 357 and 231 =
  38. 38.HCF of 98 and 63 =
  39. 39.HCF of 128 and 40 =
  40. 40.HCF of 357 and 126 =

Answer key

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

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