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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 953 · 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 77 and 35 =
  2. 2.HCF of 88 and 72 =
  3. 3.HCF of 49 and 91 =
  4. 4.HCF of 36 and 32 =
  5. 5.HCF of 12 and 15 =
  6. 6.HCF of 288 and 54 =
  7. 7.HCF of 14 and 26 =
  8. 8.HCF of 253 and 276 =
  9. 9.HCF of 380 and 247 =
  10. 10.HCF of 68 and 255 =
  11. 11.HCF of 57 and 38 =
  12. 12.HCF of 22 and 16 =
  13. 13.HCF of 135 and 153 =
  14. 14.HCF of 98 and 91 =
  15. 15.HCF of 150 and 135 =
  16. 16.HCF of 57 and 380 =
  17. 17.HCF of 20 and 16 =
  18. 18.HCF of 15 and 21 =
  19. 19.HCF of 95 and 304 =
  20. 20.HCF of 69 and 322 =
  21. 21.HCF of 18 and 45 =
  22. 22.HCF of 216 and 234 =
  23. 23.HCF of 299 and 460 =
  24. 24.HCF of 437 and 92 =
  25. 25.HCF of 68 and 16 =
  26. 26.HCF of 225 and 210 =
  27. 27.HCF of 162 and 360 =
  28. 28.HCF of 28 and 238 =
  29. 29.HCF of 70 and 65 =
  30. 30.HCF of 266 and 252 =
  31. 31.HCF of 418 and 176 =
  32. 32.HCF of 399 and 252 =
  33. 33.HCF of 170 and 150 =
  34. 34.HCF of 182 and 98 =
  35. 35.HCF of 208 and 272 =
  36. 36.HCF of 72 and 198 =
  37. 37.HCF of 40 and 52 =
  38. 38.HCF of 54 and 21 =
  39. 39.HCF of 273 and 105 =
  40. 40.HCF of 238 and 187 =

Answer key

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

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