Chhattisgarh Board Solutions for Chapter: Factors and Multiples, Exercise 8: EXERCISE 6.1

What would be the H.C.F. for two consecutive numbers?

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.

Hamida has $527$ apples, $646$ chickoos and $748$ oranges. These fruits have to be distributed in equal heaps. What would be the number of fruits in the largest heap? How many such heaps will be formed?

A rectangular room is $122 \mathrm{m}$ long and $92 \mathrm{m}$ wide from outside. If its walls are $1 \mathrm{m}$ thick then find out the maximum length of a scale in meter that can be used to measure the inner length and width of that room.