Find HCF and LCM of 4561, 6432, 457 ?

Given  : 

 457 , 4561 , 6432

To Find : 

 HCF and LCM

Solution :

HCF - Highest Common Factor :

Factors of $457 = 1 & 457

Factors of 4561 = 1 $ 4561

Factors of 6432 =1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 32 , 48 , 67 , 96 , 134 , 201 , 268 , 402 , 536 , 804 , 1072 , 1608 , 2144 , 3216 & 6432

1 is  the Highest Common Factor which is present in factors of above three numbers.

So, HCF of 457 , 4561 , 6342  =  1

LCM - Least Common Multiple :

Prime Factors of 457 -  $\displaystyle 1\times 457$

Prime Factors of 4561 - $\displaystyle 1\times 4561$

Prime Factors of 6432 - $\displaystyle 2\times 2\times 2\times 2\times 2\times 3\times 67$

LCM  = Product of highest powers of prime factors

$\displaystyle \begin{array}{{>{\displaystyle}l}}
457\ \times 4561\times 2\times 2\times 2\times 2\times 2\times 3\times 67\
\
457\times 4561\times 6432\
\
13406712864
\end{array}$

LCM  = 13406712864

HCF of 457 , 4561 , 6342  =  1

LCM of 457 , 4561 , 6342 = 13406712864