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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 581 · 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 112 and 32 =
  2. 2.HCF of 170 and 160 =
  3. 3.HCF of 152 and 104 =
  4. 4.HCF of 200 and 175 =
  5. 5.HCF of 221 and 51 =
  6. 6.HCF of 231 and 126 =
  7. 7.HCF of 260 and 320 =
  8. 8.HCF of 30 and 24 =
  9. 9.HCF of 99 and 108 =
  10. 10.HCF of 85 and 75 =
  11. 11.HCF of 264 and 384 =
  12. 12.HCF of 60 and 110 =
  13. 13.HCF of 75 and 195 =
  14. 14.HCF of 40 and 15 =
  15. 15.HCF of 21 and 12 =
  16. 16.HCF of 325 and 100 =
  17. 17.HCF of 57 and 21 =
  18. 18.HCF of 264 and 288 =
  19. 19.HCF of 312 and 480 =
  20. 20.HCF of 45 and 39 =
  21. 21.HCF of 180 and 228 =
  22. 22.HCF of 72 and 20 =
  23. 23.HCF of 252 and 399 =
  24. 24.HCF of 420 and 357 =
  25. 25.HCF of 260 and 40 =
  26. 26.HCF of 65 and 45 =
  27. 27.HCF of 70 and 168 =
  28. 28.HCF of 24 and 68 =
  29. 29.HCF of 132 and 154 =
  30. 30.HCF of 150 and 45 =
  31. 31.HCF of 231 and 273 =
  32. 32.HCF of 250 and 425 =
  33. 33.HCF of 182 and 252 =
  34. 34.HCF of 456 and 312 =
  35. 35.HCF of 42 and 35 =
  36. 36.HCF of 143 and 91 =
  37. 37.HCF of 70 and 77 =
  38. 38.HCF of 48 and 72 =
  39. 39.HCF of 165 and 60 =
  40. 40.HCF of 27 and 45 =

Answer key

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

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