Find the H.C.F. of the following by the division method.

$300, 450$

Find the H.C.F. of the following by the division method.

$72, 96, 144$

Find the H.C.F. of the following by the division method.

$120, 300, 105$

Divide the numerator and denominator of the given fraction by their highest common factor and write the fraction in simplified form.

$\frac{1444}{256}$

Divide the numerator and denominator of the given fraction by their highest common factor and write the fraction in simplified form.

$\frac{2211}{3025}$

Two small tankers contain $85$ and $68$ liters of petrol respectively. Find out the maximum capacity of the measuring vessel with which the total quantity of petrol can be measured. Write your answer in liters.

Find out the largest divisor for the numbers $389, 436$ and $542$ that would give $4, 7$ and $3$ respectively as remainder.

In classes $(VI, VII \text{and} VIII) 6, 7, \text{and} 8$ of a school, there are $220, 176$ and $132$ students respectively. Find the maximum number of students that can be included in a group so that the groups have equal number of students and can be made in each class.