Find the pairs of natural number whose least common multiple of 78 and the greatest divisor is 13
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Heya user,
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 ]
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 ]
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