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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 294 · 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 144 and 312 =
  2. 2.HCF of 162 and 45 =
  3. 3.HCF of 150 and 110 =
  4. 4.HCF of 480 and 408 =
  5. 5.HCF of 100 and 260 =
  6. 6.HCF of 24 and 88 =
  7. 7.HCF of 42 and 36 =
  8. 8.HCF of 48 and 256 =
  9. 9.HCF of 100 and 70 =
  10. 10.HCF of 312 and 480 =
  11. 11.HCF of 132 and 120 =
  12. 12.HCF of 51 and 34 =
  13. 13.HCF of 361 and 38 =
  14. 14.HCF of 168 and 48 =
  15. 15.HCF of 25 and 90 =
  16. 16.HCF of 119 and 306 =
  17. 17.HCF of 384 and 408 =
  18. 18.HCF of 324 and 342 =
  19. 19.HCF of 33 and 220 =
  20. 20.HCF of 169 and 91 =
  21. 21.HCF of 350 and 325 =
  22. 22.HCF of 180 and 228 =
  23. 23.HCF of 38 and 16 =
  24. 24.HCF of 18 and 33 =
  25. 25.HCF of 102 and 30 =
  26. 26.HCF of 425 and 400 =
  27. 27.HCF of 162 and 72 =
  28. 28.HCF of 52 and 64 =
  29. 29.HCF of 209 and 176 =
  30. 30.HCF of 14 and 35 =
  31. 31.HCF of 50 and 20 =
  32. 32.HCF of 154 and 143 =
  33. 33.HCF of 126 and 28 =
  34. 34.HCF of 39 and 143 =
  35. 35.HCF of 299 and 368 =
  36. 36.HCF of 144 and 99 =
  37. 37.HCF of 240 and 195 =
  38. 38.HCF of 35 and 30 =
  39. 39.HCF of 42 and 96 =
  40. 40.HCF of 384 and 168 =

Answer key

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

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