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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 700 · 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 51 and 48 =
  2. 2.HCF of 384 and 216 =
  3. 3.HCF of 136 and 152 =
  4. 4.HCF of 408 and 144 =
  5. 5.HCF of 120 and 96 =
  6. 6.HCF of 360 and 380 =
  7. 7.HCF of 368 and 253 =
  8. 8.HCF of 91 and 49 =
  9. 9.HCF of 170 and 100 =
  10. 10.HCF of 75 and 175 =
  11. 11.HCF of 92 and 69 =
  12. 12.HCF of 25 and 80 =
  13. 13.HCF of 22 and 55 =
  14. 14.HCF of 325 and 400 =
  15. 15.HCF of 63 and 147 =
  16. 16.HCF of 33 and 88 =
  17. 17.HCF of 126 and 90 =
  18. 18.HCF of 20 and 6 =
  19. 19.HCF of 375 and 400 =
  20. 20.HCF of 144 and 54 =
  21. 21.HCF of 144 and 45 =
  22. 22.HCF of 76 and 95 =
  23. 23.HCF of 85 and 68 =
  24. 24.HCF of 169 and 208 =
  25. 25.HCF of 72 and 114 =
  26. 26.HCF of 112 and 91 =
  27. 27.HCF of 56 and 42 =
  28. 28.HCF of 288 and 208 =
  29. 29.HCF of 190 and 57 =
  30. 30.HCF of 40 and 300 =
  31. 31.HCF of 69 and 322 =
  32. 32.HCF of 187 and 238 =
  33. 33.HCF of 140 and 170 =
  34. 34.HCF of 304 and 285 =
  35. 35.HCF of 42 and 119 =
  36. 36.HCF of 12 and 78 =
  37. 37.HCF of 40 and 50 =
  38. 38.HCF of 56 and 49 =
  39. 39.HCF of 357 and 420 =
  40. 40.HCF of 56 and 104 =

Answer key

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

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