180k views
4 votes
Which of the following expressions represents the GCF of 91x 2 y and 104xy 3?

13xy
728x 2y 3
13x 2y
728xy

User Kaspi
by
7.4k points

2 Answers

2 votes
The greatest common factor is found by finding the product of common primes.

91=7*13, 104=2*2*2*13 so the gcf of 91 and 104 is 13. Since the highest power of x and y in both terms is 1, the hcf for the variables is just xy

13xy
User ConnorU
by
8.8k points
4 votes

Answer: The correct option is (A) 13xy.

Step-by-step explanation: We are given to select the greatest common factor (G.C.F) of the following two expressions :


91x^2y~~~~\textup{and}~~~~104xy^3.

The G.C.F. of two numbers is the product of the common terms in the prime factorization of the expressions.

We have


91x^2y=7* 13* x* x* y,\\\\104xy^3=2*2*2*13* x* y* y* y.

Therefore, the G.C.F. of the given expressions will be


G.C.F.=13* x* y=13xy.

Thus, the required G.C.F is 13xy.

Option (A) is CORRECT.

User Fredy Treboux
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories