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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 526 · 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 50 and 55 =
  2. 2.HCF of 144 and 80 =
  3. 3.HCF of 68 and 52 =
  4. 4.HCF of 253 and 391 =
  5. 5.HCF of 39 and 12 =
  6. 6.HCF of 60 and 70 =
  7. 7.HCF of 36 and 30 =
  8. 8.HCF of 60 and 70 =
  9. 9.HCF of 26 and 32 =
  10. 10.HCF of 72 and 20 =
  11. 11.HCF of 154 and 210 =
  12. 12.HCF of 90 and 100 =
  13. 13.HCF of 15 and 50 =
  14. 14.HCF of 350 and 275 =
  15. 15.HCF of 180 and 80 =
  16. 16.HCF of 30 and 26 =
  17. 17.HCF of 378 and 147 =
  18. 18.HCF of 14 and 49 =
  19. 19.HCF of 30 and 130 =
  20. 20.HCF of 117 and 36 =
  21. 21.HCF of 45 and 60 =
  22. 22.HCF of 48 and 456 =
  23. 23.HCF of 169 and 91 =
  24. 24.HCF of 165 and 150 =
  25. 25.HCF of 361 and 228 =
  26. 26.HCF of 128 and 240 =
  27. 27.HCF of 126 and 35 =
  28. 28.HCF of 182 and 84 =
  29. 29.HCF of 21 and 39 =
  30. 30.HCF of 50 and 180 =
  31. 31.HCF of 437 and 138 =
  32. 32.HCF of 52 and 143 =
  33. 33.HCF of 10 and 4 =
  34. 34.HCF of 399 and 147 =
  35. 35.HCF of 437 and 276 =
  36. 36.HCF of 247 and 95 =
  37. 37.HCF of 30 and 140 =
  38. 38.HCF of 266 and 238 =
  39. 39.HCF of 272 and 192 =
  40. 40.HCF of 207 and 253 =

Answer key

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

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