MHB How to Find the GCD and LCD in Mathematics?

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$$\tiny{g1.1.2 \qquad UHW412}$$
\begin{align*}\displaystyle
S&=gcd(2^4\cdot3^2\cdot 5\cdot 7^2,2\cdot3^3\cdot 7\cdot 11)\\
&=gcd(35280,4158)\\
W|A&=126\\
\end{align*}

ok I tried to find a direct example but the powers and bases are mixed
the answer came from W|A

just interested in what steps are the normal protocol for this
 
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I would look at all factors present, and take the smaller power present in each:

$$2\cdot3^2\cdot7=126$$
 
what about 5 and 11
 
karush said:
what about 5 and 11
Only use the primes that are in both. So we ignore the 5 and 11.

-Dan
 

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