0 like 0 dislike
103 views
Find the largest number which divides 320 and 457 , leaving remainders 5 and 7 respectively.
| 103 views

0 like 0 dislike
The largest number which divides 320 and 457 leaving remainders5 and 7 respectively $=\mathrm{HCF}$ of $(320-5)$ and $(457-7)$ $=\mathrm{HCF}$ of 315 and 450 $450=315 \times 1+135$ $315=135 \times 2+45$ $135=45 \times 3+0$
$\therefore$ HCF of 450 and 315 is 45 .
So, the largest number which divides 320 and 457 leaving remainders 5 and 7 respectively is 45 .
by Platinum (130,532 points)

0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike