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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 969 · 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 450 and 325 =
  2. 2.HCF of 55 and 60 =
  3. 3.HCF of 153 and 90 =
  4. 4.HCF of 48 and 152 =
  5. 5.HCF of 300 and 195 =
  6. 6.HCF of 143 and 220 =
  7. 7.HCF of 126 and 234 =
  8. 8.HCF of 85 and 10 =
  9. 9.HCF of 195 and 45 =
  10. 10.HCF of 234 and 324 =
  11. 11.HCF of 460 and 391 =
  12. 12.HCF of 475 and 500 =
  13. 13.HCF of 130 and 120 =
  14. 14.HCF of 45 and 51 =
  15. 15.HCF of 288 and 112 =
  16. 16.HCF of 154 and 98 =
  17. 17.HCF of 340 and 100 =
  18. 18.HCF of 102 and 60 =
  19. 19.HCF of 99 and 44 =
  20. 20.HCF of 153 and 36 =
  21. 21.HCF of 33 and 209 =
  22. 22.HCF of 72 and 156 =
  23. 23.HCF of 14 and 30 =
  24. 24.HCF of 209 and 38 =
  25. 25.HCF of 288 and 176 =
  26. 26.HCF of 105 and 399 =
  27. 27.HCF of 6 and 51 =
  28. 28.HCF of 210 and 63 =
  29. 29.HCF of 144 and 162 =
  30. 30.HCF of 112 and 35 =
  31. 31.HCF of 40 and 55 =
  32. 32.HCF of 323 and 95 =
  33. 33.HCF of 25 and 20 =
  34. 34.HCF of 52 and 28 =
  35. 35.HCF of 63 and 153 =
  36. 36.HCF of 22 and 20 =
  37. 37.HCF of 162 and 72 =
  38. 38.HCF of 54 and 252 =
  39. 39.HCF of 40 and 35 =
  40. 40.HCF of 168 and 238 =

Answer key

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

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