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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 648 · 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 12 =
  2. 2.HCF of 84 and 156 =
  3. 3.HCF of 85 and 238 =
  4. 4.HCF of 39 and 91 =
  5. 5.HCF of 140 and 119 =
  6. 6.HCF of 95 and 228 =
  7. 7.HCF of 143 and 220 =
  8. 8.HCF of 247 and 65 =
  9. 9.HCF of 104 and 88 =
  10. 10.HCF of 26 and 195 =
  11. 11.HCF of 96 and 156 =
  12. 12.HCF of 340 and 153 =
  13. 13.HCF of 308 and 66 =
  14. 14.HCF of 126 and 91 =
  15. 15.HCF of 12 and 16 =
  16. 16.HCF of 228 and 204 =
  17. 17.HCF of 34 and 51 =
  18. 18.HCF of 207 and 115 =
  19. 19.HCF of 170 and 70 =
  20. 20.HCF of 450 and 425 =
  21. 21.HCF of 189 and 336 =
  22. 22.HCF of 128 and 104 =
  23. 23.HCF of 48 and 112 =
  24. 24.HCF of 190 and 180 =
  25. 25.HCF of 180 and 195 =
  26. 26.HCF of 132 and 209 =
  27. 27.HCF of 88 and 104 =
  28. 28.HCF of 380 and 57 =
  29. 29.HCF of 52 and 247 =
  30. 30.HCF of 66 and 286 =
  31. 31.HCF of 378 and 273 =
  32. 32.HCF of 119 and 323 =
  33. 33.HCF of 425 and 200 =
  34. 34.HCF of 63 and 336 =
  35. 35.HCF of 56 and 119 =
  36. 36.HCF of 99 and 180 =
  37. 37.HCF of 75 and 70 =
  38. 38.HCF of 110 and 70 =
  39. 39.HCF of 182 and 39 =
  40. 40.HCF of 77 and 14 =

Answer key

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

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