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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 73 · 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 192 and 132 =
  2. 2.HCF of 90 and 70 =
  3. 3.HCF of 125 and 450 =
  4. 4.HCF of 140 and 63 =
  5. 5.HCF of 399 and 105 =
  6. 6.HCF of 242 and 66 =
  7. 7.HCF of 99 and 220 =
  8. 8.HCF of 18 and 60 =
  9. 9.HCF of 42 and 49 =
  10. 10.HCF of 154 and 28 =
  11. 11.HCF of 234 and 54 =
  12. 12.HCF of 35 and 25 =
  13. 13.HCF of 450 and 425 =
  14. 14.HCF of 340 and 140 =
  15. 15.HCF of 44 and 80 =
  16. 16.HCF of 176 and 165 =
  17. 17.HCF of 276 and 253 =
  18. 18.HCF of 98 and 70 =
  19. 19.HCF of 361 and 133 =
  20. 20.HCF of 150 and 475 =
  21. 21.HCF of 304 and 32 =
  22. 22.HCF of 210 and 98 =
  23. 23.HCF of 176 and 48 =
  24. 24.HCF of 119 and 187 =
  25. 25.HCF of 6 and 4 =
  26. 26.HCF of 208 and 176 =
  27. 27.HCF of 475 and 150 =
  28. 28.HCF of 12 and 114 =
  29. 29.HCF of 210 and 56 =
  30. 30.HCF of 152 and 104 =
  31. 31.HCF of 266 and 98 =
  32. 32.HCF of 77 and 165 =
  33. 33.HCF of 28 and 44 =
  34. 34.HCF of 252 and 198 =
  35. 35.HCF of 312 and 96 =
  36. 36.HCF of 357 and 147 =
  37. 37.HCF of 289 and 340 =
  38. 38.HCF of 105 and 63 =
  39. 39.HCF of 306 and 36 =
  40. 40.HCF of 21 and 15 =

Answer key

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

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