Find the greatest common factor of the terms in each of the following expressions:

$2 x y z + 3 x^{2} y + 4 y^{2}$

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Solution

$2 x y z + 3 x^{2} y + 4 y^{2}$

HCF of 2, 3, 4 = 1

HCF of $x, x^{2}, 1 = 1$

HCF of y $y, y, y^{2} = y$

HCF of z, 1, 1 = 1

$∴$ HCF = y

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