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