If $a=2^{7} \cdot 3^{10}$ and $b=2^{3} \cdot 3^{7}$ , then $\operatorname{HCF}(a, b)$ is:

Real numbers

Grade Class 10

Question:

If $a=2^{7} \cdot 3^{10}$ and $b=2^{3} \cdot 3^{7}$, then $\operatorname{HCF}(a, b)$ is:

$2^{7} .3^{10}$

$2^{7} \cdot 3^{7}$

$2^{10} \cdot 3^{17}$

$2^{3} \cdot 3^{7}$

Step-by-Step Solution

Key Concept: To find the HCF of numbers expressed in prime factored form, take the product of the common prime factors raised to their minimum respective exponents.

$2^{3} \cdot 3^{7}$

Correct Answer: D

Question:

Step-by-Step Solution

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