Question

what are two numbers with the greatest common factor of twelve

Answer 1

Answer:

Let two numbers 12n and 12m whose greatest common factor is 12 .[ Here m and n are non divisible by each other and also m > n ]

Step-by-step explanation:

Bigger number = 12m

and lesser number = 12n

According to question,

Lesser no./greatest common factor = 1/16 × other number [ Bigger no.]

⇒ 12n/12 = 12m/16

⇒ 16n = 12m

⇒ 4n = 3m

⇒ n /m = 3/4

∵ n and m are non divisible by each other .

∴ n = 3 and m = 4

Now , lesser number = 12n = 12 × 3 = 36

Bigger number = 12m = 12× 4 = 48

So, two numbers are 36 and 48

Hope this helps ... :)