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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 165 · 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 16 and 24 =
  2. 2.HCF of 85 and 10 =
  3. 3.HCF of 38 and 36 =
  4. 4.HCF of 81 and 180 =
  5. 5.HCF of 182 and 196 =
  6. 6.HCF of 88 and 120 =
  7. 7.HCF of 312 and 384 =
  8. 8.HCF of 170 and 51 =
  9. 9.HCF of 168 and 238 =
  10. 10.HCF of 220 and 100 =
  11. 11.HCF of 133 and 247 =
  12. 12.HCF of 112 and 48 =
  13. 13.HCF of 240 and 264 =
  14. 14.HCF of 68 and 51 =
  15. 15.HCF of 130 and 117 =
  16. 16.HCF of 25 and 70 =
  17. 17.HCF of 208 and 288 =
  18. 18.HCF of 21 and 39 =
  19. 19.HCF of 425 and 375 =
  20. 20.HCF of 54 and 126 =
  21. 21.HCF of 38 and 14 =
  22. 22.HCF of 14 and 40 =
  23. 23.HCF of 84 and 102 =
  24. 24.HCF of 16 and 68 =
  25. 25.HCF of 126 and 231 =
  26. 26.HCF of 190 and 57 =
  27. 27.HCF of 119 and 21 =
  28. 28.HCF of 308 and 330 =
  29. 29.HCF of 36 and 126 =
  30. 30.HCF of 80 and 260 =
  31. 31.HCF of 210 and 399 =
  32. 32.HCF of 304 and 144 =
  33. 33.HCF of 72 and 234 =
  34. 34.HCF of 182 and 154 =
  35. 35.HCF of 156 and 120 =
  36. 36.HCF of 26 and 10 =
  37. 37.HCF of 374 and 154 =
  38. 38.HCF of 102 and 108 =
  39. 39.HCF of 432 and 456 =
  40. 40.HCF of 30 and 51 =

Answer key

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

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