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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 120 · 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 210 and 75 =
  2. 2.HCF of 32 and 48 =
  3. 3.HCF of 6 and 34 =
  4. 4.HCF of 119 and 112 =
  5. 5.HCF of 300 and 340 =
  6. 6.HCF of 34 and 24 =
  7. 7.HCF of 207 and 115 =
  8. 8.HCF of 60 and 192 =
  9. 9.HCF of 42 and 140 =
  10. 10.HCF of 126 and 27 =
  11. 11.HCF of 104 and 72 =
  12. 12.HCF of 294 and 399 =
  13. 13.HCF of 20 and 8 =
  14. 14.HCF of 72 and 90 =
  15. 15.HCF of 143 and 156 =
  16. 16.HCF of 144 and 312 =
  17. 17.HCF of 147 and 273 =
  18. 18.HCF of 27 and 39 =
  19. 19.HCF of 12 and 51 =
  20. 20.HCF of 345 and 253 =
  21. 21.HCF of 168 and 120 =
  22. 22.HCF of 76 and 8 =
  23. 23.HCF of 6 and 16 =
  24. 24.HCF of 115 and 69 =
  25. 25.HCF of 44 and 99 =
  26. 26.HCF of 144 and 64 =
  27. 27.HCF of 63 and 420 =
  28. 28.HCF of 108 and 90 =
  29. 29.HCF of 154 and 56 =
  30. 30.HCF of 22 and 121 =
  31. 31.HCF of 24 and 44 =
  32. 32.HCF of 42 and 39 =
  33. 33.HCF of 220 and 240 =
  34. 34.HCF of 50 and 45 =
  35. 35.HCF of 108 and 48 =
  36. 36.HCF of 238 and 224 =
  37. 37.HCF of 26 and 6 =
  38. 38.HCF of 117 and 91 =
  39. 39.HCF of 162 and 306 =
  40. 40.HCF of 57 and 45 =

Answer key

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

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