Question

find the greatest number that divides 690 and 875 leaving remainders 10and25 respectively​

Answer 1

Given:

• Numbers $690$ and $875$ leaving remainders $10$ and $25$ respectively​.

To Find:

• The greatest number that divides  $690$ and $875$ leaving remainders $10$ and $25$

Solution:

First subtract the respective remainders from the given numbers.

     ⇒     $690 - 10=680$

     ⇒     $875- 25=850$

Now  HCF of $680$ and $850$

     ⇒      $680=2 \times 2 \times 2 \times 5 \times 17$

     ⇒    $850=2\times 5 \times 5 \times 17$

Therefore,

       HCF$(680,850)=2 \times 5 \times 17=170$

Hence, The greatest number that divides  $690$ and $875$ leaving remainders $10$ and $25$ is $170$

Answer 2

Answer:

5

Step-by-step explanation:

HCF should be done in this case