Question

if two positive integers A and B are written at equal to x power 4 into y square is equal to sq y where x, y are prime numbers then find HCF and LCM of a and b

Answer 1

As a=x^2•y^2 = x*x*y*y

And b = x•y = x*y

As x and y are the prime no. Therefore both of them will definately not have any any other factor of them individually except 1 and the no. itself.

So, for all x and y HCF (a,b) = b = x•y

Example: take x=7, y= 11. ( both prime )

a=7*7*11*11 and b=7*11

Then surely: HCF(a,b) = 7*11

Extra: If we denie the condition of x and y being prime; even then we can say that the HCF(a,b) is for sure going to be 'b'. Because HCF is Highest Common Factor and as per the equations are.. in all cases HCF will be 'b

And Morning Dude;-)