Find the HCF of 2 × 3² × 5², 5 × 3 × 2² and 5² × 3 × 2².

First number: $$2 \times 3^2 \times 5^2$$​​

Second number: $$5 \times 3 \times 2^2$$​​

Third number: $$5^2 \times 3 \times 2^2$$​​

The Highest Common Factor (HCF) is found by taking the lowest power of each prime factor common to all numbers.

First number: $$2 \times 3^2 \times 5^2$$​​

Second number: $$5 \times 3 \times 2^2$$​​

Third number: $$5^2 \times 3 \times 2^2$$​​

Taking the lowest powers of each common prime factor:

​$$2^1 \times 3^1 \times 5^1$$​​

Multiplying the lowest powers:

​$$\text{HCF} = 2^1 \times 3^1 \times 5^1 = 2 \times 3 \times 5 = 30$$​​

Therefore, the HCF of the given numbers is 30​​