If two positive integers $a$ and $b$ are written as $a = x^{3} y^{2}$ and $b = x y^{3}$ ; $x, y$ are prime numbers, then HCF of $a$ and $b$ is

x y

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x y^{2}

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x^{3} y^{3}

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x^{2} y^{2}

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Solution

The correct option is B $x y^{2}$
Given,
$a = x^{3} y^{2} = x \times x \times x \times y \times y$
$b = x y^{3} = x \times y \times y \times y$
H.C.F of $a, b$ = $x y^{2}$

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Question 6
If two positive integers a and b are written as $a = x^{3} y^{2} a n d b = x y^{2}$ where x, y are prime numbers, then HCF (a, b) is

A) $x y$
B) $x y^{2}$
C) $x^{3} y^{3}$
D) $x^{2} y^{2}$

Q. If two positive integers a and b are written as

a = x^{3} y^{2}

and

b = x y^{3}; x, y

are prime numbers , then HCF(a,b) is

(a) xy (b) xy² (c) x³y³ (d) x²y²

Q. Two positive integers a and b can be written as a = x³y² and b = xy³, where x, y are prime numbers. Find LCM (a, b).

Q. Two positive integers a and b can be written as a = x³y² and b = xy³, where x and y are prime numbers. Find HCF(a, b) and LCM(a, b).

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If two positive integers a and b are written as a=x3y2 and b=xy3; x,y are prime numbers, then HCF of a and b is

The correct option is B xy2Given,a=x3y2=x×x×x×y×yb=xy3=x×y×y×yH.C.F of a,b = xy2

If two positive integers $a$ and $b$ are written as $a = x^{3} y^{2}$ and $b = x y^{3}$ ; $x, y$ are prime numbers, then HCF of $a$ and $b$ is

The correct option is B $x y^{2}$
Given,
$a = x^{3} y^{2} = x \times x \times x \times y \times y$
$b = x y^{3} = x \times y \times y \times y$
H.C.F of $a, b$ = $x y^{2}$