Question

Find the largest 2 digit number that divides 673 and 865 leaving remainder 1 in each

Answer 1

Let the no be x
When the number divides 673 and 865 it leaves a remainder 1.
Therefore,it divides 672 and 864 completely
It implies that it is the HCF of 672 and 864.
HCF of 672 and 864 is96.
96 is the number that divides 673 and 865 leaving remainder 1.

Answer 2

Answer:

The largest two digit number that divides 673 and 865 leaving remainder 1 in each is 96.

Step-by-step explanation:

To find : The largest 2 digit number that divides 673 and 865 leaving remainder 1 in each ?

Solution :

First we have to subtract the reminder from the number and then find the highest common factor among them.

So, 673-1=672

865-1=864

Now, factories the numbers

$672 = 2\times2\times2\times2\times2\times3\times7$

$864= 2\times2\times2\times2\times2\times3\times3\times3$

The HCF of the numbers are

$HCF(672,864)= 2\times2\times2\times2\times2\times3$

$HCF(672,864)= 96$

Therefore, The largest two digit number that divides 673 and 865 leaving remainder 1 in each is 96.