Question

56 + 91

Which expression is equivalent to the given expression and is written using the greatest common factor of the two numbers in the expression?
A. 1(56+91)
B. 3(14+27)
C. 7(8+13)
D. 13(4+7)

Answer 1

The equivalent expression to '56 + 91' using the greatest common factor is found by first identifying the GCF, which is 7. The numbers 56 and 91 divided by 7 gives us 8 and 13, respectively. Thus, the equivalent expression is 7(8+13), option C.

Step-by-step explanation:

The question requires finding an expression equivalent to 56 + 91 using the greatest common factor (GCF). To do this, we first need to find the GCF of the two numbers. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The factors of 91 are 1, 7, 13, and 91. The greatest common factor they share is 7.

Using the GCF of 7, we divide both numbers by 7:

• 56 ÷ 7 = 8
• 91 ÷ 7 = 13

So, the equivalent expression written using the GCF would be 7(8+13). This corresponds to option C in the answer choices.