Question

The GCF and LCM of 49 and 243​

Answer 1

GCF

First we have to find the prime factorization of $49,243$

$49=7\times 7\\243=3\times 3\times 3\times 3\times 3$

To find the GCF: Multiply all the prime factors common to both the numbers.

The GCF of $49,243$ is $1$.

LCM

First find the prime factorization of $49,243$

$49=7\times 7\\243=3\times 3\times 3\times 3\times 3$

Multiply each factor the greater number of two times it occurs in steps.

LCM$=3\times 3\times 3\times 3\times 3\times 7\times 7$

LCM$=11907$

Therefore, the GCF is $1$ and LCM is $11907$.

Answer 2

Answer:

LCM is $11907$ and GCF is $1$.

Step-by-step explanation:

• Given numbers :$49,243$

• The prime factorization of given numbers

$49=7\times7$

$243=3\times3\times3\times3\times3$

• LCM is found by the product of all common prime factors of two numbers and extra prime factors of both

• Then, LCM of $49,243$

$=7\times7\times3\times3\times3\times3\times3$

$=11907$

• The Greatest common factor of two or more numbers is the greatest of their common factors.

• Common factor of the given numbers is $1$

• Then, GCF of $49,243$ is $1$.

Hence, LCM is $11907$ and GCF is $1$.