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

Respuesta :

Answer:

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:

[tex]\begin{gathered} \frac{280}{56}=5 \\ \frac{450}{56}=8\frac{1}{28} \end{gathered}[/tex]

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.

[tex]\begin{gathered} \frac{578}{57}=10\frac{8}{57} \\ \frac{714}{57}=12\frac{10}{19} \end{gathered}[/tex]

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