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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 171 · 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 375 and 425 =
  2. 2.HCF of 117 and 247 =
  3. 3.HCF of 114 and 90 =
  4. 4.HCF of 80 and 152 =
  5. 5.HCF of 100 and 240 =
  6. 6.HCF of 36 and 84 =
  7. 7.HCF of 156 and 240 =
  8. 8.HCF of 68 and 51 =
  9. 9.HCF of 38 and 36 =
  10. 10.HCF of 208 and 128 =
  11. 11.HCF of 6 and 39 =
  12. 12.HCF of 40 and 75 =
  13. 13.HCF of 42 and 105 =
  14. 14.HCF of 288 and 176 =
  15. 15.HCF of 35 and 25 =
  16. 16.HCF of 286 and 154 =
  17. 17.HCF of 220 and 160 =
  18. 18.HCF of 10 and 18 =
  19. 19.HCF of 299 and 69 =
  20. 20.HCF of 18 and 21 =
  21. 21.HCF of 216 and 168 =
  22. 22.HCF of 36 and 68 =
  23. 23.HCF of 161 and 460 =
  24. 24.HCF of 120 and 72 =
  25. 25.HCF of 57 and 12 =
  26. 26.HCF of 77 and 98 =
  27. 27.HCF of 312 and 384 =
  28. 28.HCF of 32 and 10 =
  29. 29.HCF of 165 and 150 =
  30. 30.HCF of 96 and 304 =
  31. 31.HCF of 380 and 140 =
  32. 32.HCF of 18 and 48 =
  33. 33.HCF of 378 and 105 =
  34. 34.HCF of 208 and 224 =
  35. 35.HCF of 22 and 20 =
  36. 36.HCF of 28 and 21 =
  37. 37.HCF of 54 and 96 =
  38. 38.HCF of 78 and 65 =
  39. 39.HCF of 418 and 110 =
  40. 40.HCF of 56 and 68 =

Answer key

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

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