Question

what is the greatest common factor of the numbers using prime factorization inc. whether the numbers are relatively prime: 168, 180 and 450?

Answer 1

clearly not relatively prime because they are all even

Answer 2

\[168=2^3\times 3\times 7\]
\[180=2^2\times 3^2\times 5\]
\[450=2\times 3^2\times 5^2\]

Answer 3

for least common multiple you will need
\[2^3\]
\[3^2\]
\[5^2\] and
\[7\]
each factor you see to the highest power you see it in any ONE number

Answer 4

so LCM is
\[2^2\times 3^2\times 5^2\times 7\] whatever that is

Answer 5

ok, thanks

Answer 6

yw