13. Three mark example problems I

1. What is the greatest number that will divide \(62\), \(78\) and \(109\) leaving remainders \(2\), \(3\) and \(4\) respectively?

 

 

 Greatest number \(=\)

 

2. A book seller has \(175\) English books, \(245\) Science books and \(385\) Mathematics books. He wants to sell the books in a box, subject-wise in equal numbers. What will be the greatest number of the boxes required? Also, find the number of books for each subject in a box.

 

 

Greatest number of the boxes \(=\)

 

Number of books for each subject in a box \(=\)