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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 763 · 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 130 and 120 =
  2. 2.HCF of 266 and 84 =
  3. 3.HCF of 192 and 176 =
  4. 4.HCF of 374 and 352 =
  5. 5.HCF of 144 and 312 =
  6. 6.HCF of 147 and 420 =
  7. 7.HCF of 150 and 165 =
  8. 8.HCF of 136 and 72 =
  9. 9.HCF of 63 and 14 =
  10. 10.HCF of 75 and 425 =
  11. 11.HCF of 21 and 18 =
  12. 12.HCF of 276 and 299 =
  13. 13.HCF of 51 and 24 =
  14. 14.HCF of 270 and 252 =
  15. 15.HCF of 275 and 375 =
  16. 16.HCF of 12 and 51 =
  17. 17.HCF of 88 and 128 =
  18. 18.HCF of 125 and 300 =
  19. 19.HCF of 126 and 180 =
  20. 20.HCF of 24 and 32 =
  21. 21.HCF of 420 and 231 =
  22. 22.HCF of 84 and 132 =
  23. 23.HCF of 300 and 40 =
  24. 24.HCF of 54 and 57 =
  25. 25.HCF of 15 and 21 =
  26. 26.HCF of 169 and 260 =
  27. 27.HCF of 180 and 280 =
  28. 28.HCF of 169 and 65 =
  29. 29.HCF of 374 and 264 =
  30. 30.HCF of 136 and 24 =
  31. 31.HCF of 198 and 54 =
  32. 32.HCF of 70 and 238 =
  33. 33.HCF of 22 and 38 =
  34. 34.HCF of 105 and 189 =
  35. 35.HCF of 20 and 28 =
  36. 36.HCF of 76 and 52 =
  37. 37.HCF of 272 and 51 =
  38. 38.HCF of 20 and 28 =
  39. 39.HCF of 200 and 110 =
  40. 40.HCF of 156 and 240 =

Answer key

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

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