Highest Common Factors

There are $40$ girls and $32$ boys, who want to participate in state-level games competition. If each team must have the same number of girls and the same number of boys.

What is the maximum number in each team that can participate in state-level games?

How many boys and girls will be on each team?

Ramu has $16$ blue marbles and $12$ white ones. If ha wants to arrange them in identical groups without leaving any marbles. What is the maximum number in each group Ramu can make? 

What is length of largest tape which can measure the lengths of $24 \mathrm{m}$ and $30 \mathrm{m}$.

There are $10$ boys and $15$ girls in a class. The teacher wants to divide the children into groups such that each group contains an equal number of boys and girls. What is the greatest number of groups that she can make like this$?$

Find the $\mathrm{HCF}$ of the given numbers using the prime factorization method:

$84, 98$

Jose is measuring out coconut oil to Siyad and Meera. Siyed need $12$ litres of oil and Meera needs $16$ litres. Jose has jars to measure out various quantities. What is the largest jar he can use for both Siyad and Meera? (if the answer is $X$ litres, then write $X$ in the given box.)

Find the common factors and highest common factor of the number pairs given below:

$28,20$

Find the common factors and highest common factor of the number pairs given below:

$18,24$

Find the common factors and highest common factor of the number pairs given below:

$32,40$

Find the common factors and highest common factor of the number pairs given below :

$36,45$

Find the common factors and highest common factor of the number pairs given below:

$28,36$

Find the common factors and highest common factor of the number pairs given below:

$15, 25$