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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 561 · 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 224 and 126 =
  2. 2.HCF of 420 and 357 =
  3. 3.HCF of 132 and 180 =
  4. 4.HCF of 190 and 247 =
  5. 5.HCF of 63 and 140 =
  6. 6.HCF of 99 and 22 =
  7. 7.HCF of 276 and 299 =
  8. 8.HCF of 126 and 147 =
  9. 9.HCF of 44 and 33 =
  10. 10.HCF of 24 and 20 =
  11. 11.HCF of 361 and 95 =
  12. 12.HCF of 92 and 115 =
  13. 13.HCF of 117 and 208 =
  14. 14.HCF of 60 and 66 =
  15. 15.HCF of 90 and 95 =
  16. 16.HCF of 85 and 221 =
  17. 17.HCF of 240 and 208 =
  18. 18.HCF of 40 and 90 =
  19. 19.HCF of 210 and 399 =
  20. 20.HCF of 48 and 256 =
  21. 21.HCF of 76 and 16 =
  22. 22.HCF of 320 and 60 =
  23. 23.HCF of 300 and 325 =
  24. 24.HCF of 140 and 80 =
  25. 25.HCF of 120 and 50 =
  26. 26.HCF of 32 and 40 =
  27. 27.HCF of 136 and 323 =
  28. 28.HCF of 40 and 36 =
  29. 29.HCF of 98 and 105 =
  30. 30.HCF of 77 and 21 =
  31. 31.HCF of 250 and 475 =
  32. 32.HCF of 56 and 91 =
  33. 33.HCF of 15 and 9 =
  34. 34.HCF of 48 and 42 =
  35. 35.HCF of 266 and 280 =
  36. 36.HCF of 18 and 26 =
  37. 37.HCF of 437 and 460 =
  38. 38.HCF of 153 and 85 =
  39. 39.HCF of 63 and 357 =
  40. 40.HCF of 78 and 72 =

Answer key

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

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