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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 183 · 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 10 and 26 =
  2. 2.HCF of 176 and 288 =
  3. 3.HCF of 136 and 51 =
  4. 4.HCF of 162 and 153 =
  5. 5.HCF of 323 and 221 =
  6. 6.HCF of 165 and 300 =
  7. 7.HCF of 144 and 272 =
  8. 8.HCF of 320 and 260 =
  9. 9.HCF of 315 and 42 =
  10. 10.HCF of 399 and 126 =
  11. 11.HCF of 98 and 252 =
  12. 12.HCF of 48 and 120 =
  13. 13.HCF of 340 and 119 =
  14. 14.HCF of 420 and 147 =
  15. 15.HCF of 323 and 57 =
  16. 16.HCF of 44 and 8 =
  17. 17.HCF of 140 and 240 =
  18. 18.HCF of 360 and 408 =
  19. 19.HCF of 361 and 133 =
  20. 20.HCF of 231 and 210 =
  21. 21.HCF of 54 and 180 =
  22. 22.HCF of 98 and 266 =
  23. 23.HCF of 95 and 361 =
  24. 24.HCF of 270 and 75 =
  25. 25.HCF of 210 and 135 =
  26. 26.HCF of 143 and 156 =
  27. 27.HCF of 88 and 80 =
  28. 28.HCF of 6 and 45 =
  29. 29.HCF of 36 and 126 =
  30. 30.HCF of 63 and 119 =
  31. 31.HCF of 162 and 180 =
  32. 32.HCF of 414 and 161 =
  33. 33.HCF of 69 and 299 =
  34. 34.HCF of 55 and 45 =
  35. 35.HCF of 48 and 21 =
  36. 36.HCF of 200 and 260 =
  37. 37.HCF of 135 and 60 =
  38. 38.HCF of 75 and 250 =
  39. 39.HCF of 345 and 322 =
  40. 40.HCF of 115 and 414 =

Answer key

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

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