Respuesta :
Answer:
14
Step-by-step explanation:
Since 1*14=14
2*7=14
and 7*2=14
ANSWER:
A pair of numbers that have 1, 2, 7 and 14 as a common factors are 296 and 592.
SOLUTION:
We need to find a pair of numbers that both have 1, 2, 7 and 14 as a common factor.
Let, both the numbers be x and y.
According to the given information,
“x” has factors 1, 2, 7 and 14.
So, x = 1 × 2 × 7 × 14 × m
Here, m is any integer. Because, x can also have factors other than 1, 2, 7 and 14.
And, y also has factors 1, 2, 7 and 14.
So, y = 1 × 2 × 7 × 14 × n
Here, m is any integer. I used n, but not m as for x, because y can have other factors unlike m.
Now, x = 296m and y = 296n.
From above, we can say that multiples of 296 will have 1, 2, 7 and 14 as factors.
Let us put m = 1 and n = 2
x = 296 and y = 592
Hence, a pair of numbers that have 1, 2, 7 and 14 as a common factors are 296 and 592.
