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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 474 · 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 66 and 308 =
  2. 2.HCF of 198 and 121 =
  3. 3.HCF of 210 and 45 =
  4. 4.HCF of 39 and 182 =
  5. 5.HCF of 56 and 35 =
  6. 6.HCF of 169 and 78 =
  7. 7.HCF of 300 and 165 =
  8. 8.HCF of 119 and 136 =
  9. 9.HCF of 64 and 144 =
  10. 10.HCF of 90 and 102 =
  11. 11.HCF of 72 and 102 =
  12. 12.HCF of 357 and 210 =
  13. 13.HCF of 100 and 70 =
  14. 14.HCF of 70 and 91 =
  15. 15.HCF of 105 and 231 =
  16. 16.HCF of 102 and 120 =
  17. 17.HCF of 210 and 45 =
  18. 18.HCF of 30 and 18 =
  19. 19.HCF of 84 and 133 =
  20. 20.HCF of 54 and 153 =
  21. 21.HCF of 130 and 100 =
  22. 22.HCF of 56 and 48 =
  23. 23.HCF of 253 and 414 =
  24. 24.HCF of 105 and 300 =
  25. 25.HCF of 312 and 384 =
  26. 26.HCF of 50 and 85 =
  27. 27.HCF of 112 and 98 =
  28. 28.HCF of 169 and 104 =
  29. 29.HCF of 80 and 30 =
  30. 30.HCF of 176 and 121 =
  31. 31.HCF of 72 and 60 =
  32. 32.HCF of 63 and 294 =
  33. 33.HCF of 162 and 342 =
  34. 34.HCF of 154 and 44 =
  35. 35.HCF of 207 and 253 =
  36. 36.HCF of 45 and 81 =
  37. 37.HCF of 288 and 456 =
  38. 38.HCF of 168 and 147 =
  39. 39.HCF of 170 and 70 =
  40. 40.HCF of 247 and 171 =

Answer key

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

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