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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 64 · 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 70 and 180 =
  2. 2.HCF of 100 and 130 =
  3. 3.HCF of 408 and 120 =
  4. 4.HCF of 299 and 207 =
  5. 5.HCF of 324 and 126 =
  6. 6.HCF of 208 and 65 =
  7. 7.HCF of 238 and 126 =
  8. 8.HCF of 100 and 170 =
  9. 9.HCF of 68 and 187 =
  10. 10.HCF of 345 and 46 =
  11. 11.HCF of 90 and 288 =
  12. 12.HCF of 36 and 153 =
  13. 13.HCF of 475 and 150 =
  14. 14.HCF of 342 and 133 =
  15. 15.HCF of 144 and 270 =
  16. 16.HCF of 57 and 39 =
  17. 17.HCF of 40 and 88 =
  18. 18.HCF of 306 and 289 =
  19. 19.HCF of 162 and 252 =
  20. 20.HCF of 286 and 132 =
  21. 21.HCF of 380 and 280 =
  22. 22.HCF of 98 and 42 =
  23. 23.HCF of 345 and 253 =
  24. 24.HCF of 260 and 220 =
  25. 25.HCF of 64 and 56 =
  26. 26.HCF of 209 and 114 =
  27. 27.HCF of 85 and 45 =
  28. 28.HCF of 156 and 168 =
  29. 29.HCF of 130 and 60 =
  30. 30.HCF of 396 and 286 =
  31. 31.HCF of 228 and 96 =
  32. 32.HCF of 140 and 80 =
  33. 33.HCF of 143 and 77 =
  34. 34.HCF of 36 and 22 =
  35. 35.HCF of 70 and 180 =
  36. 36.HCF of 180 and 117 =
  37. 37.HCF of 255 and 270 =
  38. 38.HCF of 70 and 55 =
  39. 39.HCF of 56 and 128 =
  40. 40.HCF of 210 and 285 =

Answer key

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

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