If the product of two numbers is 4032 and their HCF is 12, find their LCM.

The HCF and LCM of two numbers are 9 and 270 respectively. If one of the numbers is 45, find the other number.

Can two numbers have 15 as their HCF and 110 as their LCM? Give reason to justify your answer.

Fill in the blanks:

(i) The only natural number which has exactly one factor is ….

(ii) The only prime number which is even is ….

(iii) The HCF of two co-prime numbers is ….

(iv) Two perfect numbers are … and ….

(v) The only prime-triplet is ….

(vi) The LCM of two or more given numbers is the lowest their common …

(vii) The HCF of two or more of given numbers is the highest of their common …