Which pair of numbers is relatively prime

Mathematics

2 answers:

nydimaria [60]3 years ago

6 0

Answer:

D is correct.

Step-by-step explanation:

I just finished taking the quiz.

Anna007 [38]3 years ago

5 0

Without any calculations it's evident it can't be neither B (both numbers are even, so they're divisible by 2) nor C (the numbers end in 0 and 5, so they're divisible by 5).

A.
$57=3\cdot19\\
96=2^5\cdot3$
Both numbers have a factor of 3, so they're not relatively prime.
That means it must be D. But, let's check it.

$143=11\cdot13\\
323=17\cdot19$

Indeed, those two numbers are relatively prime.

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