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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 333 · 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 20 and 22 =
  2. 2.HCF of 63 and 28 =
  3. 3.HCF of 88 and 77 =
  4. 4.HCF of 210 and 182 =
  5. 5.HCF of 132 and 77 =
  6. 6.HCF of 425 and 375 =
  7. 7.HCF of 147 and 231 =
  8. 8.HCF of 312 and 264 =
  9. 9.HCF of 200 and 190 =
  10. 10.HCF of 144 and 88 =
  11. 11.HCF of 85 and 55 =
  12. 12.HCF of 289 and 306 =
  13. 13.HCF of 198 and 44 =
  14. 14.HCF of 340 and 380 =
  15. 15.HCF of 312 and 288 =
  16. 16.HCF of 10 and 22 =
  17. 17.HCF of 30 and 170 =
  18. 18.HCF of 6 and 14 =
  19. 19.HCF of 216 and 228 =
  20. 20.HCF of 153 and 27 =
  21. 21.HCF of 240 and 312 =
  22. 22.HCF of 276 and 161 =
  23. 23.HCF of 220 and 99 =
  24. 24.HCF of 190 and 90 =
  25. 25.HCF of 361 and 114 =
  26. 26.HCF of 168 and 456 =
  27. 27.HCF of 34 and 38 =
  28. 28.HCF of 60 and 8 =
  29. 29.HCF of 15 and 54 =
  30. 30.HCF of 342 and 108 =
  31. 31.HCF of 143 and 39 =
  32. 32.HCF of 48 and 168 =
  33. 33.HCF of 102 and 187 =
  34. 34.HCF of 36 and 68 =
  35. 35.HCF of 456 and 192 =
  36. 36.HCF of 270 and 342 =
  37. 37.HCF of 380 and 320 =
  38. 38.HCF of 65 and 20 =
  39. 39.HCF of 184 and 345 =
  40. 40.HCF of 154 and 110 =

Answer key

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

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