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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 425 · 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 130 and 143 =
  2. 2.HCF of 176 and 256 =
  3. 3.HCF of 437 and 69 =
  4. 4.HCF of 18 and 33 =
  5. 5.HCF of 204 and 36 =
  6. 6.HCF of 112 and 160 =
  7. 7.HCF of 55 and 198 =
  8. 8.HCF of 195 and 270 =
  9. 9.HCF of 160 and 56 =
  10. 10.HCF of 36 and 28 =
  11. 11.HCF of 153 and 162 =
  12. 12.HCF of 170 and 200 =
  13. 13.HCF of 64 and 152 =
  14. 14.HCF of 72 and 306 =
  15. 15.HCF of 156 and 132 =
  16. 16.HCF of 306 and 216 =
  17. 17.HCF of 176 and 304 =
  18. 18.HCF of 207 and 115 =
  19. 19.HCF of 105 and 120 =
  20. 20.HCF of 98 and 154 =
  21. 21.HCF of 378 and 399 =
  22. 22.HCF of 21 and 28 =
  23. 23.HCF of 45 and 55 =
  24. 24.HCF of 99 and 135 =
  25. 25.HCF of 200 and 60 =
  26. 26.HCF of 276 and 161 =
  27. 27.HCF of 35 and 55 =
  28. 28.HCF of 90 and 126 =
  29. 29.HCF of 84 and 133 =
  30. 30.HCF of 315 and 357 =
  31. 31.HCF of 240 and 220 =
  32. 32.HCF of 72 and 198 =
  33. 33.HCF of 104 and 32 =
  34. 34.HCF of 95 and 133 =
  35. 35.HCF of 64 and 120 =
  36. 36.HCF of 153 and 136 =
  37. 37.HCF of 91 and 21 =
  38. 38.HCF of 38 and 24 =
  39. 39.HCF of 216 and 456 =
  40. 40.HCF of 33 and 6 =

Answer key

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

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