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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 330 · 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 104 and 152 =
  2. 2.HCF of 56 and 77 =
  3. 3.HCF of 65 and 169 =
  4. 4.HCF of 165 and 77 =
  5. 5.HCF of 48 and 72 =
  6. 6.HCF of 102 and 108 =
  7. 7.HCF of 48 and 136 =
  8. 8.HCF of 36 and 126 =
  9. 9.HCF of 175 and 50 =
  10. 10.HCF of 380 and 320 =
  11. 11.HCF of 304 and 320 =
  12. 12.HCF of 92 and 253 =
  13. 13.HCF of 35 and 42 =
  14. 14.HCF of 260 and 247 =
  15. 15.HCF of 147 and 378 =
  16. 16.HCF of 165 and 120 =
  17. 17.HCF of 266 and 126 =
  18. 18.HCF of 200 and 30 =
  19. 19.HCF of 20 and 28 =
  20. 20.HCF of 14 and 20 =
  21. 21.HCF of 110 and 180 =
  22. 22.HCF of 65 and 15 =
  23. 23.HCF of 49 and 133 =
  24. 24.HCF of 104 and 143 =
  25. 25.HCF of 264 and 192 =
  26. 26.HCF of 300 and 325 =
  27. 27.HCF of 126 and 133 =
  28. 28.HCF of 21 and 91 =
  29. 29.HCF of 99 and 143 =
  30. 30.HCF of 224 and 238 =
  31. 31.HCF of 150 and 105 =
  32. 32.HCF of 170 and 20 =
  33. 33.HCF of 88 and 143 =
  34. 34.HCF of 117 and 221 =
  35. 35.HCF of 255 and 68 =
  36. 36.HCF of 121 and 88 =
  37. 37.HCF of 114 and 96 =
  38. 38.HCF of 12 and 10 =
  39. 39.HCF of 48 and 18 =
  40. 40.HCF of 153 and 54 =

Answer key

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

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