If two positive integers a and b are written as a=x^2y^3 and b=xy^3, where x and y are prime numbers, then HCF(a,b) is

Open in App

Solution

$p = x^{2} y^{3} z = x \times x \times y \times y \times y \times z q = x^{3} y^{2} z = x \times x \times x \times y \times y \times z HCF (p, q) = x \times x \times y \times y \times z = x^{2} y^{2} z L C M (p, q) = x \times x \times x \times y \times y \times y \times z = x^{3} y^{3} z$

Suggest Corrections

Similar questions

a

b

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

b = x y^{3}

x, y

H C F (a, b)

Q. If two positive integer a and b are written as a=x³y² and b=xy³ ; x and y are prime numbers, then find the HCF (a,b).

a = x^{3} y^{2} a n d b = x y^{2}

x y

x y^{2}

x^{3} y^{3}

x^{2} y^{2}

Join BYJU'S Learning Program