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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 28 · 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 153 and 68 =
  2. 2.HCF of 260 and 39 =
  3. 3.HCF of 63 and 336 =
  4. 4.HCF of 288 and 126 =
  5. 5.HCF of 91 and 104 =
  6. 6.HCF of 49 and 14 =
  7. 7.HCF of 14 and 63 =
  8. 8.HCF of 153 and 340 =
  9. 9.HCF of 100 and 60 =
  10. 10.HCF of 104 and 88 =
  11. 11.HCF of 221 and 52 =
  12. 12.HCF of 14 and 91 =
  13. 13.HCF of 150 and 425 =
  14. 14.HCF of 98 and 21 =
  15. 15.HCF of 266 and 210 =
  16. 16.HCF of 91 and 78 =
  17. 17.HCF of 342 and 306 =
  18. 18.HCF of 80 and 56 =
  19. 19.HCF of 40 and 44 =
  20. 20.HCF of 125 and 75 =
  21. 21.HCF of 28 and 70 =
  22. 22.HCF of 21 and 119 =
  23. 23.HCF of 36 and 30 =
  24. 24.HCF of 340 and 289 =
  25. 25.HCF of 72 and 162 =
  26. 26.HCF of 35 and 77 =
  27. 27.HCF of 336 and 360 =
  28. 28.HCF of 200 and 130 =
  29. 29.HCF of 39 and 48 =
  30. 30.HCF of 247 and 26 =
  31. 31.HCF of 198 and 352 =
  32. 32.HCF of 147 and 168 =
  33. 33.HCF of 399 and 42 =
  34. 34.HCF of 132 and 24 =
  35. 35.HCF of 32 and 28 =
  36. 36.HCF of 30 and 8 =
  37. 37.HCF of 28 and 24 =
  38. 38.HCF of 200 and 220 =
  39. 39.HCF of 306 and 234 =
  40. 40.HCF of 169 and 52 =

Answer key

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

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