Question

QUESTION:-

IF 2 POSITIVE NUMBERS a AND b ARE WRITTEN AS a=x^3y^2 AND b=xy^3,x and y BEING PRIME NUMBERS,FIND HCF OF a AND b.



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Answer 1

As x and y are prime numbers, the given are the prime factorisation of both a and b. So the product of x's and y's which are common in both the prime factorisation of a and b is the HCF.

From a = x^3y^2 and b = xy^3, it is seen that x and y^2 is common in both. So the HCF is xy^2.

Thank you...

Answer 2

$\sf{\huge{\underline{Answer}}}$

Given:-

Numbers ,

a = $x^3 y2$

b = $xy^3$

x and y are prime Numbers .

Then to find out HCF :-

we have to consider the common prime factors with the lowest power

Prime factors of above

of

a = $x^3 y2$

b = $xy^3$

Now prime factors with lowest power (common)

= $x\: and\:y^2$

Therefore HCF

= $xy^2$

Now to find LCM we have to take all prime factors (common/uncommon) with their highest power .

The prime factors of

a = $x^3 y2$

b = $xy^3$

Then prime factors (common/uncommon) with their highest power .

= $x^3 \: and \: y^3$

Then LCM

= $x^3 y^3$

$\mathcal{\large{\red{HOPE\:IT\: HELPS}}}$