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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 445 · 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 357 and 399 =
  2. 2.HCF of 240 and 304 =
  3. 3.HCF of 264 and 432 =
  4. 4.HCF of 323 and 57 =
  5. 5.HCF of 374 and 330 =
  6. 6.HCF of 15 and 51 =
  7. 7.HCF of 70 and 15 =
  8. 8.HCF of 48 and 408 =
  9. 9.HCF of 115 and 253 =
  10. 10.HCF of 69 and 46 =
  11. 11.HCF of 207 and 46 =
  12. 12.HCF of 175 and 325 =
  13. 13.HCF of 399 and 378 =
  14. 14.HCF of 26 and 143 =
  15. 15.HCF of 117 and 169 =
  16. 16.HCF of 273 and 126 =
  17. 17.HCF of 20 and 85 =
  18. 18.HCF of 216 and 96 =
  19. 19.HCF of 432 and 312 =
  20. 20.HCF of 320 and 140 =
  21. 21.HCF of 323 and 95 =
  22. 22.HCF of 36 and 38 =
  23. 23.HCF of 14 and 119 =
  24. 24.HCF of 437 and 207 =
  25. 25.HCF of 132 and 120 =
  26. 26.HCF of 40 and 15 =
  27. 27.HCF of 99 and 153 =
  28. 28.HCF of 170 and 153 =
  29. 29.HCF of 46 and 207 =
  30. 30.HCF of 27 and 60 =
  31. 31.HCF of 160 and 170 =
  32. 32.HCF of 208 and 80 =
  33. 33.HCF of 144 and 162 =
  34. 34.HCF of 110 and 50 =
  35. 35.HCF of 38 and 20 =
  36. 36.HCF of 52 and 36 =
  37. 37.HCF of 168 and 192 =
  38. 38.HCF of 156 and 192 =
  39. 39.HCF of 289 and 255 =
  40. 40.HCF of 75 and 90 =

Answer key

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

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