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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 246 · 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 72 and 84 =
  2. 2.HCF of 64 and 272 =
  3. 3.HCF of 132 and 242 =
  4. 4.HCF of 150 and 70 =
  5. 5.HCF of 85 and 55 =
  6. 6.HCF of 44 and 56 =
  7. 7.HCF of 66 and 44 =
  8. 8.HCF of 32 and 48 =
  9. 9.HCF of 22 and 99 =
  10. 10.HCF of 180 and 320 =
  11. 11.HCF of 380 and 60 =
  12. 12.HCF of 209 and 228 =
  13. 13.HCF of 90 and 153 =
  14. 14.HCF of 42 and 357 =
  15. 15.HCF of 275 and 75 =
  16. 16.HCF of 140 and 80 =
  17. 17.HCF of 34 and 6 =
  18. 18.HCF of 66 and 12 =
  19. 19.HCF of 100 and 325 =
  20. 20.HCF of 264 and 48 =
  21. 21.HCF of 36 and 234 =
  22. 22.HCF of 96 and 78 =
  23. 23.HCF of 100 and 160 =
  24. 24.HCF of 220 and 260 =
  25. 25.HCF of 192 and 72 =
  26. 26.HCF of 154 and 112 =
  27. 27.HCF of 65 and 117 =
  28. 28.HCF of 136 and 144 =
  29. 29.HCF of 231 and 399 =
  30. 30.HCF of 36 and 76 =
  31. 31.HCF of 60 and 95 =
  32. 32.HCF of 45 and 75 =
  33. 33.HCF of 180 and 255 =
  34. 34.HCF of 182 and 169 =
  35. 35.HCF of 280 and 60 =
  36. 36.HCF of 238 and 140 =
  37. 37.HCF of 250 and 225 =
  38. 38.HCF of 110 and 170 =
  39. 39.HCF of 30 and 50 =
  40. 40.HCF of 374 and 88 =

Answer key

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

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