Find H.C.F. of \(48xyz^{2}\) and \(3x^{2}y^{2}z^{2}\)
Answer
Factors of \(48xyz^2\):
\(48xyz^2=2\times2\times2\times2\times\underline{3\times(x)\times(y)\times(z)\times(z)}\) ....(i)
Factors of \(3x^2y^2z^2\):
\(3x^2y^2z^2=\underline{3\times(x)}\times(x)\times(y)\times\underline{(y)\times(z)\times(z)}\) ....(ii)
From (i) and (ii),
H.C.F \(=3\times(x)\times(y)\times(z)\times(z)=3xyz^{2}\).
\(48xyz^2=2\times2\times2\times2\times\underline{3\times(x)\times(y)\times(z)\times(z)}\) ....(i)
Factors of \(3x^2y^2z^2\):
\(3x^2y^2z^2=\underline{3\times(x)}\times(x)\times(y)\times\underline{(y)\times(z)\times(z)}\) ....(ii)
From (i) and (ii),
H.C.F \(=3\times(x)\times(y)\times(z)\times(z)=3xyz^{2}\).
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