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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 124 · 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 108 and 204 =
  2. 2.HCF of 322 and 207 =
  3. 3.HCF of 15 and 48 =
  4. 4.HCF of 10 and 36 =
  5. 5.HCF of 28 and 16 =
  6. 6.HCF of 42 and 57 =
  7. 7.HCF of 161 and 414 =
  8. 8.HCF of 374 and 198 =
  9. 9.HCF of 140 and 130 =
  10. 10.HCF of 380 and 260 =
  11. 11.HCF of 49 and 21 =
  12. 12.HCF of 100 and 275 =
  13. 13.HCF of 105 and 42 =
  14. 14.HCF of 161 and 46 =
  15. 15.HCF of 228 and 180 =
  16. 16.HCF of 152 and 136 =
  17. 17.HCF of 143 and 121 =
  18. 18.HCF of 414 and 253 =
  19. 19.HCF of 48 and 20 =
  20. 20.HCF of 187 and 22 =
  21. 21.HCF of 15 and 25 =
  22. 22.HCF of 340 and 119 =
  23. 23.HCF of 210 and 195 =
  24. 24.HCF of 120 and 192 =
  25. 25.HCF of 30 and 35 =
  26. 26.HCF of 198 and 306 =
  27. 27.HCF of 26 and 195 =
  28. 28.HCF of 24 and 128 =
  29. 29.HCF of 345 and 299 =
  30. 30.HCF of 65 and 80 =
  31. 31.HCF of 51 and 323 =
  32. 32.HCF of 180 and 170 =
  33. 33.HCF of 208 and 117 =
  34. 34.HCF of 400 and 425 =
  35. 35.HCF of 170 and 70 =
  36. 36.HCF of 25 and 40 =
  37. 37.HCF of 63 and 168 =
  38. 38.HCF of 24 and 44 =
  39. 39.HCF of 270 and 342 =
  40. 40.HCF of 63 and 49 =

Answer key

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

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