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The HCF of $2^{3} \times 3^{2} \times$ 5 and $2^{2} \times 3^{3} \times$ 7 is:

Class 10HCF and LCMNumber Systems

A $2^{2} \times 3^{2}$
B $2^{3} \times 3^{3}$
C $2^{2} \times 3^{3}$
D $2^{3} \times 3^{2} \times 5 \times 7$

Step-by-Step Solution

HCF takes the lowest power of each common prime:

2^{2}

and

3^{2}

. So HCF =

2^{2} \times 3^{2}

.

Answer: A)

2^{2} \times 3^{2}

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