Question

The Lcm and Hcf of two numbers are 341 and 11 respectively. find the greater of the two numbers

Answer 1

Heya User,

--> Let the no. be a , b =_=
--> Plz use the term GCD inspite of HCF =_=

--> Given, GCD [ a , b ] = 11 
=> a = 11m || b = 11n ; --> for some ( m , n ) being relatively prime N.

Now, 
--> LCM [ a , b ] = 11mn = 341
=> mn = 341 / 11 = 31 ...

However, 31 is a prime =_= 
--> and ( m , n ) are relatively prime .. so mathematically speaking there must not exist any such integer ..... but, however :->
--> m = 1 || n = 31 is a trivial soln.

Hence, a = 11 || b = 341 is the only soln. 
.'. 341 is the greater term =_=

Sorry for the =_= xD... Hope uh find the answer helpful