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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 334 · 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 63 and 108 =
  2. 2.HCF of 40 and 26 =
  3. 3.HCF of 105 and 42 =
  4. 4.HCF of 147 and 357 =
  5. 5.HCF of 221 and 34 =
  6. 6.HCF of 330 and 88 =
  7. 7.HCF of 140 and 170 =
  8. 8.HCF of 247 and 228 =
  9. 9.HCF of 52 and 143 =
  10. 10.HCF of 170 and 150 =
  11. 11.HCF of 28 and 18 =
  12. 12.HCF of 60 and 16 =
  13. 13.HCF of 42 and 133 =
  14. 14.HCF of 108 and 168 =
  15. 15.HCF of 272 and 224 =
  16. 16.HCF of 228 and 204 =
  17. 17.HCF of 24 and 40 =
  18. 18.HCF of 12 and 18 =
  19. 19.HCF of 176 and 165 =
  20. 20.HCF of 18 and 14 =
  21. 21.HCF of 28 and 91 =
  22. 22.HCF of 144 and 408 =
  23. 23.HCF of 190 and 40 =
  24. 24.HCF of 289 and 272 =
  25. 25.HCF of 56 and 16 =
  26. 26.HCF of 21 and 56 =
  27. 27.HCF of 72 and 204 =
  28. 28.HCF of 300 and 45 =
  29. 29.HCF of 312 and 456 =
  30. 30.HCF of 136 and 104 =
  31. 31.HCF of 12 and 30 =
  32. 32.HCF of 8 and 76 =
  33. 33.HCF of 140 and 400 =
  34. 34.HCF of 345 and 322 =
  35. 35.HCF of 176 and 48 =
  36. 36.HCF of 147 and 420 =
  37. 37.HCF of 187 and 34 =
  38. 38.HCF of 102 and 120 =
  39. 39.HCF of 35 and 14 =
  40. 40.HCF of 63 and 153 =

Answer key

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

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