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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 324 · 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 119 and 91 =
  2. 2.HCF of 56 and 16 =
  3. 3.HCF of 8 and 18 =
  4. 4.HCF of 119 and 51 =
  5. 5.HCF of 208 and 32 =
  6. 6.HCF of 78 and 120 =
  7. 7.HCF of 105 and 84 =
  8. 8.HCF of 240 and 216 =
  9. 9.HCF of 475 and 125 =
  10. 10.HCF of 198 and 360 =
  11. 11.HCF of 40 and 380 =
  12. 12.HCF of 240 and 312 =
  13. 13.HCF of 96 and 112 =
  14. 14.HCF of 238 and 28 =
  15. 15.HCF of 378 and 105 =
  16. 16.HCF of 96 and 78 =
  17. 17.HCF of 102 and 42 =
  18. 18.HCF of 216 and 132 =
  19. 19.HCF of 304 and 171 =
  20. 20.HCF of 12 and 42 =
  21. 21.HCF of 104 and 120 =
  22. 22.HCF of 195 and 210 =
  23. 23.HCF of 72 and 117 =
  24. 24.HCF of 32 and 48 =
  25. 25.HCF of 95 and 57 =
  26. 26.HCF of 40 and 140 =
  27. 27.HCF of 234 and 54 =
  28. 28.HCF of 126 and 147 =
  29. 29.HCF of 273 and 378 =
  30. 30.HCF of 304 and 208 =
  31. 31.HCF of 39 and 143 =
  32. 32.HCF of 16 and 120 =
  33. 33.HCF of 84 and 90 =
  34. 34.HCF of 160 and 170 =
  35. 35.HCF of 456 and 72 =
  36. 36.HCF of 34 and 16 =
  37. 37.HCF of 34 and 12 =
  38. 38.HCF of 115 and 253 =
  39. 39.HCF of 209 and 33 =
  40. 40.HCF of 95 and 342 =

Answer key

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

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