Relationship between HCF and LCM

Can two numbers have $14$ as their HCF and $204$ as their LCM? 

Can two numbers have $16$ as their HCF and $384$ as their LCM? Give reason.

The HCF of two numbers is $6$ and their LCM is $36$. If one of the numbers is $12$, find the other.

The product of two numbers is $3276$. If their HCF is $6$, find their LCM.

If the LCM of two numbers is $290$ and their product is $7250$, what will be its HCF?

Find the LCM and HCF of the following numbers and check their relationship.

$30,48$

Find the LCM and HCF of the following numbers and check their relationship.

$12,48$

Find the LCM and HCF of the following numbers and check their relationship.

$8,25$

Find the LCM and HCF of the following numbers and check their relationship.

$15,24$