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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 826 · 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 231 and 210 =
  2. 2.HCF of 176 and 242 =
  3. 3.HCF of 320 and 220 =
  4. 4.HCF of 50 and 160 =
  5. 5.HCF of 160 and 144 =
  6. 6.HCF of 65 and 26 =
  7. 7.HCF of 91 and 117 =
  8. 8.HCF of 54 and 84 =
  9. 9.HCF of 126 and 144 =
  10. 10.HCF of 85 and 75 =
  11. 11.HCF of 147 and 378 =
  12. 12.HCF of 90 and 105 =
  13. 13.HCF of 153 and 238 =
  14. 14.HCF of 132 and 242 =
  15. 15.HCF of 48 and 132 =
  16. 16.HCF of 45 and 153 =
  17. 17.HCF of 15 and 85 =
  18. 18.HCF of 242 and 110 =
  19. 19.HCF of 99 and 36 =
  20. 20.HCF of 300 and 340 =
  21. 21.HCF of 90 and 255 =
  22. 22.HCF of 170 and 130 =
  23. 23.HCF of 400 and 140 =
  24. 24.HCF of 24 and 228 =
  25. 25.HCF of 224 and 80 =
  26. 26.HCF of 50 and 60 =
  27. 27.HCF of 50 and 15 =
  28. 28.HCF of 42 and 49 =
  29. 29.HCF of 108 and 78 =
  30. 30.HCF of 312 and 432 =
  31. 31.HCF of 36 and 21 =
  32. 32.HCF of 32 and 30 =
  33. 33.HCF of 176 and 374 =
  34. 34.HCF of 6 and 33 =
  35. 35.HCF of 56 and 98 =
  36. 36.HCF of 14 and 36 =
  37. 37.HCF of 190 and 150 =
  38. 38.HCF of 69 and 322 =
  39. 39.HCF of 44 and 48 =
  40. 40.HCF of 102 and 30 =

Answer key

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

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