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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 43 · 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 210 =
  2. 2.HCF of 92 and 207 =
  3. 3.HCF of 192 and 408 =
  4. 4.HCF of 75 and 195 =
  5. 5.HCF of 32 and 6 =
  6. 6.HCF of 360 and 260 =
  7. 7.HCF of 175 and 425 =
  8. 8.HCF of 24 and 104 =
  9. 9.HCF of 56 and 44 =
  10. 10.HCF of 48 and 9 =
  11. 11.HCF of 42 and 102 =
  12. 12.HCF of 119 and 153 =
  13. 13.HCF of 133 and 84 =
  14. 14.HCF of 345 and 253 =
  15. 15.HCF of 323 and 238 =
  16. 16.HCF of 102 and 289 =
  17. 17.HCF of 99 and 90 =
  18. 18.HCF of 143 and 182 =
  19. 19.HCF of 98 and 182 =
  20. 20.HCF of 221 and 182 =
  21. 21.HCF of 136 and 85 =
  22. 22.HCF of 112 and 40 =
  23. 23.HCF of 285 and 323 =
  24. 24.HCF of 140 and 40 =
  25. 25.HCF of 105 and 126 =
  26. 26.HCF of 42 and 36 =
  27. 27.HCF of 6 and 28 =
  28. 28.HCF of 112 and 98 =
  29. 29.HCF of 57 and 27 =
  30. 30.HCF of 165 and 120 =
  31. 31.HCF of 380 and 320 =
  32. 32.HCF of 50 and 85 =
  33. 33.HCF of 56 and 88 =
  34. 34.HCF of 45 and 24 =
  35. 35.HCF of 36 and 198 =
  36. 36.HCF of 105 and 168 =
  37. 37.HCF of 136 and 88 =
  38. 38.HCF of 51 and 18 =
  39. 39.HCF of 91 and 70 =
  40. 40.HCF of 360 and 168 =

Answer key

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

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