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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 531 · 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 209 and 171 =
  2. 2.HCF of 15 and 65 =
  3. 3.HCF of 228 and 24 =
  4. 4.HCF of 168 and 144 =
  5. 5.HCF of 44 and 66 =
  6. 6.HCF of 24 and 27 =
  7. 7.HCF of 286 and 374 =
  8. 8.HCF of 400 and 475 =
  9. 9.HCF of 221 and 51 =
  10. 10.HCF of 368 and 207 =
  11. 11.HCF of 91 and 169 =
  12. 12.HCF of 14 and 35 =
  13. 13.HCF of 140 and 170 =
  14. 14.HCF of 240 and 255 =
  15. 15.HCF of 35 and 119 =
  16. 16.HCF of 102 and 18 =
  17. 17.HCF of 288 and 342 =
  18. 18.HCF of 120 and 170 =
  19. 19.HCF of 170 and 200 =
  20. 20.HCF of 160 and 130 =
  21. 21.HCF of 323 and 247 =
  22. 22.HCF of 24 and 114 =
  23. 23.HCF of 300 and 275 =
  24. 24.HCF of 14 and 32 =
  25. 25.HCF of 170 and 119 =
  26. 26.HCF of 168 and 48 =
  27. 27.HCF of 48 and 408 =
  28. 28.HCF of 88 and 136 =
  29. 29.HCF of 176 and 320 =
  30. 30.HCF of 300 and 80 =
  31. 31.HCF of 140 and 21 =
  32. 32.HCF of 399 and 210 =
  33. 33.HCF of 36 and 16 =
  34. 34.HCF of 400 and 275 =
  35. 35.HCF of 320 and 300 =
  36. 36.HCF of 368 and 391 =
  37. 37.HCF of 51 and 15 =
  38. 38.HCF of 55 and 132 =
  39. 39.HCF of 14 and 63 =
  40. 40.HCF of 8 and 18 =

Answer key

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

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