Question

find pairs of natural numbers whose least common multiple is 78 and the greatest divisor is 13

Answer 1

(13,78) (26,39)

IF IT IS CORRECT MARK BRAINLIEST ✌️

Answer 2

Let the no.s be a & b,

GCD [ a , b ] = 13;

=> Let a = 13m and b = 13n

Now, LCM [ a , b ] = 78

=> 13m | 78

=> m | 6 and similarly, n | 6; --> Also, m does not divide n

.'. Possible values of (m,n) are :->

--> [ 1 , 6 ] , [ 2 , 3 ]

.'. Possible values for ( a , b ) are :-> [ 13 , 78 ] , [ 26 , 39 ]