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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 177 · 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 16 and 30 =
  2. 2.HCF of 44 and 374 =
  3. 3.HCF of 420 and 189 =
  4. 4.HCF of 64 and 88 =
  5. 5.HCF of 374 and 330 =
  6. 6.HCF of 289 and 102 =
  7. 7.HCF of 48 and 45 =
  8. 8.HCF of 153 and 238 =
  9. 9.HCF of 63 and 147 =
  10. 10.HCF of 48 and 57 =
  11. 11.HCF of 85 and 65 =
  12. 12.HCF of 54 and 342 =
  13. 13.HCF of 220 and 360 =
  14. 14.HCF of 161 and 276 =
  15. 15.HCF of 63 and 210 =
  16. 16.HCF of 70 and 50 =
  17. 17.HCF of 300 and 340 =
  18. 18.HCF of 36 and 54 =
  19. 19.HCF of 187 and 110 =
  20. 20.HCF of 24 and 18 =
  21. 21.HCF of 10 and 24 =
  22. 22.HCF of 45 and 65 =
  23. 23.HCF of 25 and 60 =
  24. 24.HCF of 252 and 147 =
  25. 25.HCF of 22 and 77 =
  26. 26.HCF of 20 and 130 =
  27. 27.HCF of 65 and 143 =
  28. 28.HCF of 64 and 80 =
  29. 29.HCF of 15 and 27 =
  30. 30.HCF of 48 and 320 =
  31. 31.HCF of 110 and 140 =
  32. 32.HCF of 91 and 26 =
  33. 33.HCF of 456 and 264 =
  34. 34.HCF of 18 and 10 =
  35. 35.HCF of 308 and 242 =
  36. 36.HCF of 288 and 80 =
  37. 37.HCF of 26 and 30 =
  38. 38.HCF of 15 and 20 =
  39. 39.HCF of 69 and 437 =
  40. 40.HCF of 54 and 360 =

Answer key

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

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