How to Find the GCD and LCD in Mathematics?

[karush]

$$\tiny{g1.1.2 \qquad UHW412}$$
\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

 

[MarkFL]

I would look at all factors present, and take the smaller power present in each:

\(\displaystyle 2\cdot3^2\cdot7=126\)

 

[karush]

what about 5 and 11

 

[topsquark]

what about 5 and 11

Only use the primes that are in both. So we ignore the 5 and 11.

-Dan