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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 255 · 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 28 and 238 =
  2. 2.HCF of 119 and 34 =
  3. 3.HCF of 112 and 288 =
  4. 4.HCF of 72 and 192 =
  5. 5.HCF of 190 and 361 =
  6. 6.HCF of 342 and 288 =
  7. 7.HCF of 161 and 69 =
  8. 8.HCF of 66 and 209 =
  9. 9.HCF of 306 and 90 =
  10. 10.HCF of 176 and 33 =
  11. 11.HCF of 224 and 80 =
  12. 12.HCF of 45 and 120 =
  13. 13.HCF of 42 and 273 =
  14. 14.HCF of 210 and 56 =
  15. 15.HCF of 195 and 208 =
  16. 16.HCF of 260 and 160 =
  17. 17.HCF of 112 and 144 =
  18. 18.HCF of 30 and 36 =
  19. 19.HCF of 399 and 63 =
  20. 20.HCF of 42 and 27 =
  21. 21.HCF of 380 and 57 =
  22. 22.HCF of 40 and 300 =
  23. 23.HCF of 264 and 154 =
  24. 24.HCF of 4 and 6 =
  25. 25.HCF of 40 and 32 =
  26. 26.HCF of 88 and 165 =
  27. 27.HCF of 140 and 30 =
  28. 28.HCF of 360 and 48 =
  29. 29.HCF of 60 and 85 =
  30. 30.HCF of 88 and 16 =
  31. 31.HCF of 63 and 147 =
  32. 32.HCF of 68 and 255 =
  33. 33.HCF of 286 and 242 =
  34. 34.HCF of 76 and 24 =
  35. 35.HCF of 52 and 8 =
  36. 36.HCF of 75 and 60 =
  37. 37.HCF of 32 and 272 =
  38. 38.HCF of 39 and 51 =
  39. 39.HCF of 374 and 396 =
  40. 40.HCF of 24 and 16 =

Answer key

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

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