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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 176 · 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 60 and 66 =
  2. 2.HCF of 95 and 80 =
  3. 3.HCF of 21 and 112 =
  4. 4.HCF of 26 and 38 =
  5. 5.HCF of 272 and 32 =
  6. 6.HCF of 285 and 209 =
  7. 7.HCF of 30 and 4 =
  8. 8.HCF of 91 and 133 =
  9. 9.HCF of 48 and 9 =
  10. 10.HCF of 425 and 275 =
  11. 11.HCF of 208 and 80 =
  12. 12.HCF of 225 and 175 =
  13. 13.HCF of 147 and 63 =
  14. 14.HCF of 6 and 14 =
  15. 15.HCF of 133 and 342 =
  16. 16.HCF of 154 and 266 =
  17. 17.HCF of 162 and 288 =
  18. 18.HCF of 272 and 289 =
  19. 19.HCF of 76 and 95 =
  20. 20.HCF of 22 and 16 =
  21. 21.HCF of 253 and 69 =
  22. 22.HCF of 51 and 238 =
  23. 23.HCF of 48 and 42 =
  24. 24.HCF of 135 and 210 =
  25. 25.HCF of 56 and 32 =
  26. 26.HCF of 99 and 110 =
  27. 27.HCF of 20 and 34 =
  28. 28.HCF of 153 and 34 =
  29. 29.HCF of 160 and 190 =
  30. 30.HCF of 456 and 72 =
  31. 31.HCF of 120 and 18 =
  32. 32.HCF of 247 and 208 =
  33. 33.HCF of 72 and 234 =
  34. 34.HCF of 70 and 252 =
  35. 35.HCF of 51 and 33 =
  36. 36.HCF of 35 and 77 =
  37. 37.HCF of 115 and 46 =
  38. 38.HCF of 154 and 70 =
  39. 39.HCF of 64 and 80 =
  40. 40.HCF of 120 and 72 =

Answer key

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

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