Asit Das Gupta and Alok Kumar Solutions for Exercise 4: EXERCISE 2D

Reduce the following fraction to the lowest term.

$\frac{306}{414}$

Reduce the following fraction to the lowest term.

$\frac{559}{989}$

Reduce the following fraction to the lowest term.

$\frac{611}{1457}$

Reduce the following fraction to the lowest term.

$\frac{350}{518}$

Find the greatest length in $\mathrm{cm}$ of a tape whose length can be used to measure exactly the lengths $56 \mathrm{cm}, 154 \mathrm{cm}, 294 \mathrm{cm}$.

There are $342$ apples, $627$ mangoes, $836$ guavas. These are to be arranged in heaps containing the same number of fruits. Find the greatest number of fruits possible in each heap. How many heaps are formed?

Find the greatest weight in $\mathrm{kg}$ that can be used a number of times to weigh $156 \mathrm{kg}, 180 \mathrm{kg}, 324 \mathrm{kg}$ of wheat.

In a school library, there are $780$ books of English, $364$ books of Hindi and $624$ books of mathematics. The librarian wants to arrange these books across the maximum number of shelves such that each shelf has the same number of books of each subject. Find the number of shelves that can be used. What would be the number of these books in each shelf?