Q1.Write the names of the two methods you use to find the HCF and LCM.

Q2.Write formula to show the relation between HCF and LCM.

Q1.

HCF and LCM could be found using
1. factoring
2. Euclidean algorithm

Q2.
Let H(p,q) denote the HCF of positive integers p,q, and L(p,q) denote the LCM of p,q, then

H(p,q)*L(p,q)=pq

Ans.1-)

Two methods for finding the LCM and HCF are-:
1·prime factorization method
2.long division method

Ans.2-)
The formula that relates the HCF And LCM is-:
HCF × LCM=1st no.× 2nd no.

Q1. The two methods commonly used to find the Highest Common Factor (HCF) and the Lowest Common Multiple (LCM) are:

1. Prime Factorization Method: In this method, we factorize each number into its prime factors and then identify the common prime factors to determine the HCF. To find the LCM, we multiply all the prime factors, considering each factor the maximum number of times it occurs in any given number.

2. Division Method: In this method, we repeatedly divide the given numbers by their common factors until we can no longer divide evenly. The product of all the common factors gives us the HCF. To find the LCM, we multiply the HCF by the quotients obtained from the divisions.

Q2. The formula that shows the relation between HCF and LCM is:

HCF × LCM = product of the two numbers

Mathematically, if we have two numbers a and b, then their HCF multiplied by their LCM will be equal to the product of the two numbers:

HCF(a, b) × LCM(a, b) = a × b