If a and b are two prime numbers then find HCF(a, b).

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Solution

Prime factorization:
a = a
b = b

HCF = product of smallest power of each common prime factor in the numbers = 1

Thus, HCF(a, b) = 1

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If a and b are two prime numbers then find HCF(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

b

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

b = x y^{3}

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H C F (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}

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