The least number which when divided by $5, 6, 7$ and $8$ leaves $3$ as a remainder,but when divided by $9$ leaves no remainder,is:

What will be the least number which when doubled will be exactly divisible by $12, 18, 21$ and $30$?

The $LCM$ of $2^{2} \times 3^{2} \times 5 \times 11$,$2^{4} \times 3^{4} \times 5^{2} \times 7$,and $2^{5} \times 3^{3} \times 5^{2} \times 7^{2} \times 11$ is:

The product of two numbers is $4107$. If the $HCF$ of these numbers is $37$,then the greater number is

In a school,$391$ boys and $323$ girls have been divided into the largest possible equal classes,so that each class of boys numbers the same as each class of girls. What is the number of classes?

The $HCF$ of $x^{8}-1$ and $x^{4}+2x^{3}-2x-1$ is