Find the greatest common factor of the monomials 6x3a2b2c,8x2ab3c3,12a3b2c2

Find the greatest common factor of the monomials $6 x^{3} a^{2} b^{2} c, 8 x^{2} a b^{3} c^{3}, 12 a^{3} b^{2} c^{2}$

Match the items on the right to the items on the left.

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The numerical coeffecients of the given monomials are 6,8 and 12.

The greatest common factor of 6,8 and 12 is 2.

The common literals appearing in the three monomials are a,b and c.

The smallest power of 'a' in the three monomials =1

The smallest power of 'b' in the three monomials =2

The smallest power of 'c' in the three monomials =1

The monomial of common literals with smallest powers=

a^{1} b^{2} c^{1} = a b^{2} c

Hence, the greatest common factor=

2 a b^{2} c