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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 693 · 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 80 and 130 =
  2. 2.HCF of 66 and 102 =
  3. 3.HCF of 70 and 91 =
  4. 4.HCF of 57 and 39 =
  5. 5.HCF of 78 and 24 =
  6. 6.HCF of 143 and 78 =
  7. 7.HCF of 150 and 275 =
  8. 8.HCF of 50 and 425 =
  9. 9.HCF of 98 and 119 =
  10. 10.HCF of 375 and 175 =
  11. 11.HCF of 36 and 240 =
  12. 12.HCF of 323 and 238 =
  13. 13.HCF of 42 and 147 =
  14. 14.HCF of 304 and 160 =
  15. 15.HCF of 20 and 68 =
  16. 16.HCF of 72 and 60 =
  17. 17.HCF of 84 and 54 =
  18. 18.HCF of 210 and 56 =
  19. 19.HCF of 285 and 152 =
  20. 20.HCF of 51 and 30 =
  21. 21.HCF of 182 and 70 =
  22. 22.HCF of 85 and 238 =
  23. 23.HCF of 44 and 242 =
  24. 24.HCF of 408 and 432 =
  25. 25.HCF of 12 and 66 =
  26. 26.HCF of 380 and 323 =
  27. 27.HCF of 100 and 35 =
  28. 28.HCF of 252 and 231 =
  29. 29.HCF of 306 and 180 =
  30. 30.HCF of 30 and 135 =
  31. 31.HCF of 39 and 169 =
  32. 32.HCF of 323 and 152 =
  33. 33.HCF of 60 and 57 =
  34. 34.HCF of 84 and 120 =
  35. 35.HCF of 120 and 152 =
  36. 36.HCF of 320 and 60 =
  37. 37.HCF of 322 and 299 =
  38. 38.HCF of 24 and 18 =
  39. 39.HCF of 69 and 46 =
  40. 40.HCF of 115 and 437 =

Answer key

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

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