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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 240 · 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 100 and 140 =
  2. 2.HCF of 63 and 18 =
  3. 3.HCF of 323 and 136 =
  4. 4.HCF of 209 and 33 =
  5. 5.HCF of 98 and 77 =
  6. 6.HCF of 160 and 150 =
  7. 7.HCF of 247 and 190 =
  8. 8.HCF of 190 and 30 =
  9. 9.HCF of 30 and 36 =
  10. 10.HCF of 90 and 65 =
  11. 11.HCF of 143 and 117 =
  12. 12.HCF of 140 and 100 =
  13. 13.HCF of 36 and 48 =
  14. 14.HCF of 10 and 4 =
  15. 15.HCF of 20 and 64 =
  16. 16.HCF of 18 and 10 =
  17. 17.HCF of 228 and 120 =
  18. 18.HCF of 105 and 42 =
  19. 19.HCF of 100 and 45 =
  20. 20.HCF of 69 and 460 =
  21. 21.HCF of 396 and 242 =
  22. 22.HCF of 70 and 130 =
  23. 23.HCF of 64 and 144 =
  24. 24.HCF of 60 and 32 =
  25. 25.HCF of 306 and 221 =
  26. 26.HCF of 63 and 56 =
  27. 27.HCF of 221 and 85 =
  28. 28.HCF of 50 and 35 =
  29. 29.HCF of 42 and 60 =
  30. 30.HCF of 65 and 15 =
  31. 31.HCF of 15 and 21 =
  32. 32.HCF of 110 and 160 =
  33. 33.HCF of 299 and 322 =
  34. 34.HCF of 225 and 325 =
  35. 35.HCF of 266 and 209 =
  36. 36.HCF of 143 and 55 =
  37. 37.HCF of 63 and 294 =
  38. 38.HCF of 234 and 162 =
  39. 39.HCF of 192 and 456 =
  40. 40.HCF of 176 and 288 =

Answer key

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

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