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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 147 · 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 216 and 126 =
  2. 2.HCF of 21 and 70 =
  3. 3.HCF of 308 and 66 =
  4. 4.HCF of 280 and 300 =
  5. 5.HCF of 85 and 70 =
  6. 6.HCF of 102 and 30 =
  7. 7.HCF of 64 and 24 =
  8. 8.HCF of 238 and 51 =
  9. 9.HCF of 30 and 36 =
  10. 10.HCF of 44 and 143 =
  11. 11.HCF of 160 and 88 =
  12. 12.HCF of 120 and 66 =
  13. 13.HCF of 98 and 35 =
  14. 14.HCF of 88 and 120 =
  15. 15.HCF of 34 and 289 =
  16. 16.HCF of 52 and 8 =
  17. 17.HCF of 115 and 161 =
  18. 18.HCF of 247 and 209 =
  19. 19.HCF of 220 and 198 =
  20. 20.HCF of 147 and 63 =
  21. 21.HCF of 36 and 56 =
  22. 22.HCF of 32 and 14 =
  23. 23.HCF of 195 and 210 =
  24. 24.HCF of 285 and 266 =
  25. 25.HCF of 234 and 324 =
  26. 26.HCF of 260 and 100 =
  27. 27.HCF of 30 and 48 =
  28. 28.HCF of 96 and 40 =
  29. 29.HCF of 190 and 70 =
  30. 30.HCF of 9 and 51 =
  31. 31.HCF of 110 and 77 =
  32. 32.HCF of 45 and 36 =
  33. 33.HCF of 28 and 42 =
  34. 34.HCF of 10 and 4 =
  35. 35.HCF of 22 and 32 =
  36. 36.HCF of 100 and 380 =
  37. 37.HCF of 418 and 264 =
  38. 38.HCF of 72 and 160 =
  39. 39.HCF of 40 and 70 =
  40. 40.HCF of 252 and 234 =

Answer key

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

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