Question

Find the greatest number that divides 451 328 and 673 leaving 14 and 1 respectively as reminders

Answer 1

Answer:

6

Step-by-step explanation:

451−1=450

328-4=324

673-1=672

⇒  Now, we have to find common factors of 450, 324 and 672

450 = 2×3×3×5×5

324 = 2×2×3×3×3×3

672 = 2×2×2×2×2×3×7

⇒  The common factors are 2×3 = 6

Here we can see after dividing 451, 328 and 673 by 6 we get a remainder of 1, 4 and 1 respectively.

∴  The greatest number that will divide 451, 328 and 673 leaving remainders 1, 4, and 1 is 6