Question

If g.c.d. $(a,b)=27,l.c.m.(a,b)=729$ and $a>b$,then $a=$ ?

• A. $729$
• B. $27$
• C. $81$
• D. $243$

Answer 1

The correct option is A $729$

Given, $g.c.d(a,b)=27,l.c.m(a,b)=729$

Here, $a\times b=g.c.d\times l.c.m$

If, $b=27$

Then, $a\times 27=27\times 729\Rightarrow a=729$

Since, $a>b$

$\therefore a=729.$