Question

if to positive integers a and b expressed as a=xysqure and b=xpover y where x and y prime numbers. find the HCF(a,b)

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Answer 1

$a = x3y2 \\ b = xy3 \\ \\ for \: finding \: hcf \: {a \: b} \\ \\ a = xxxyy \\ b = xyyy \\ the \: terms \: same \: in \: the \: both \: a \: and \: b \: are \: xyy \: and \: xyy \: = xy2 \\ hence \: hcf \: {a \: b } \: = \: xy {}^{2}$

$\huge\mathfrak\red{hope \: this \: help \: you}$