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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 344 · 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 60 and 18 =
  2. 2.HCF of 209 and 22 =
  3. 3.HCF of 80 and 224 =
  4. 4.HCF of 35 and 65 =
  5. 5.HCF of 420 and 231 =
  6. 6.HCF of 204 and 120 =
  7. 7.HCF of 90 and 153 =
  8. 8.HCF of 399 and 273 =
  9. 9.HCF of 77 and 56 =
  10. 10.HCF of 63 and 210 =
  11. 11.HCF of 216 and 132 =
  12. 12.HCF of 221 and 208 =
  13. 13.HCF of 120 and 108 =
  14. 14.HCF of 272 and 85 =
  15. 15.HCF of 342 and 361 =
  16. 16.HCF of 66 and 352 =
  17. 17.HCF of 500 and 475 =
  18. 18.HCF of 65 and 39 =
  19. 19.HCF of 456 and 432 =
  20. 20.HCF of 88 and 160 =
  21. 21.HCF of 418 and 440 =
  22. 22.HCF of 39 and 65 =
  23. 23.HCF of 39 and 182 =
  24. 24.HCF of 272 and 32 =
  25. 25.HCF of 154 and 55 =
  26. 26.HCF of 36 and 20 =
  27. 27.HCF of 253 and 46 =
  28. 28.HCF of 90 and 108 =
  29. 29.HCF of 6 and 8 =
  30. 30.HCF of 460 and 299 =
  31. 31.HCF of 220 and 120 =
  32. 32.HCF of 308 and 286 =
  33. 33.HCF of 12 and 80 =
  34. 34.HCF of 76 and 12 =
  35. 35.HCF of 4 and 34 =
  36. 36.HCF of 52 and 44 =
  37. 37.HCF of 170 and 130 =
  38. 38.HCF of 28 and 36 =
  39. 39.HCF of 220 and 240 =
  40. 40.HCF of 76 and 60 =

Answer key

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

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