Question

find the largest two digit number that divides 673 and 865 leaving remainder 1 in each answer

Answer 1

Here's your answer!!

_________________________________

To find the largest two digit number that divides 673 and 865 leaving remainder 1 in each ,we will find have to subtract 1 from both then we will have to find HCM of both ,

$= > 673 - 1 \\ = > 672$
$= > 865 - 1 \\ = > 864$
Now ,we will find HCM :-
$= > 672 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 7 \\ = > 864 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3$
So,
HCF = 2×2×2×2×2×3
$= > 96$

Hence,
The largest number which divides 673 and 856 leaving remainder 1 is "96".

_____________________________

Hope it helps you!! :)

Answer 2

remainder = 1
then the number can be easily divisible and leave remainder 0 will be 673 -1 and 865 -1 that is 672 and 864 .

factors of 672 are =2×2×2×2×2×3×7
factors of 864 are = 2×2×2×2×2×3×3×3

common = 2×2×2×2×2×3
= 96

96 is answer.
I'm sure please mark it as brainlist.