Question

1) Is the number 56 a common divisor of 280 to 280 and 450? Justify the answer2) is the number 57 a common divisor of 578 and 714? Justify the answer

Answer 1

0. No

,

1. No

Explanation:

Part 1

Given the numbers 280 and 450. To determine if they are common divisors, we carry out the division below:

`\begin{gathered} (280)/(56)=5 \\ (450)/(56)=8(1)/(28) \end{gathered}`

Since the second result does not give a whole number, 56 is not a common divisor of 280 and 450.

Part 2

Just as we did above, divide 578 and 714 by 57.

`\begin{gathered} (578)/(57)=10(8)/(57) \\ (714)/(57)=12(10)/(19) \end{gathered}`

Since none of the results give a whole number, 57 is not a common divisor of 578 and 714.