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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 844 · 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 15 and 65 =
  2. 2.HCF of 108 and 168 =
  3. 3.HCF of 30 and 160 =
  4. 4.HCF of 253 and 69 =
  5. 5.HCF of 125 and 100 =
  6. 6.HCF of 294 and 231 =
  7. 7.HCF of 171 and 180 =
  8. 8.HCF of 399 and 147 =
  9. 9.HCF of 76 and 56 =
  10. 10.HCF of 85 and 51 =
  11. 11.HCF of 143 and 39 =
  12. 12.HCF of 45 and 195 =
  13. 13.HCF of 91 and 77 =
  14. 14.HCF of 60 and 135 =
  15. 15.HCF of 120 and 152 =
  16. 16.HCF of 15 and 9 =
  17. 17.HCF of 18 and 63 =
  18. 18.HCF of 20 and 68 =
  19. 19.HCF of 225 and 250 =
  20. 20.HCF of 273 and 126 =
  21. 21.HCF of 42 and 49 =
  22. 22.HCF of 28 and 80 =
  23. 23.HCF of 9 and 42 =
  24. 24.HCF of 42 and 18 =
  25. 25.HCF of 380 and 320 =
  26. 26.HCF of 391 and 184 =
  27. 27.HCF of 55 and 154 =
  28. 28.HCF of 144 and 128 =
  29. 29.HCF of 35 and 14 =
  30. 30.HCF of 117 and 171 =
  31. 31.HCF of 40 and 220 =
  32. 32.HCF of 15 and 65 =
  33. 33.HCF of 176 and 242 =
  34. 34.HCF of 36 and 99 =
  35. 35.HCF of 176 and 198 =
  36. 36.HCF of 170 and 323 =
  37. 37.HCF of 153 and 135 =
  38. 38.HCF of 209 and 304 =
  39. 39.HCF of 80 and 150 =
  40. 40.HCF of 44 and 242 =

Answer key

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

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