document.write( "Question 27803: Find the greatest common factor for each of the following set of terms.\r
\n" ); document.write( "\n" ); document.write( "12a^3b^2, 18a^2b^3, 6a^4b^4\r
\n" ); document.write( "\n" ); document.write( "Please help. I am completely lost.\r
\n" ); document.write( "\n" ); document.write( "Thank you so much. \n" ); document.write( "
Algebra.Com's Answer #15131 by sdmmadam@yahoo.com(530)\"\" \"About 
You can put this solution on YOUR website!
Find the greatest common factor for each of the following set of terms.\r
\n" ); document.write( "\n" ); document.write( "12a^3b^2, 18a^2b^3, 6a^4b^4\r
\n" ); document.write( "\n" ); document.write( "[Consider 12,18 and 6
\n" ); document.write( "12 = 1X2X2X3, 18 = 2X3X3 and 6 = 1X2X3
\n" ); document.write( "You observe that 2 is in 12, in 18 and in 6
\n" ); document.write( "Therefore 2 is a factor common to 12,18 and 6
\n" ); document.write( "You observe that 3 is in 12, in 18 and in 6
\n" ); document.write( "Therefore 3 is a factor common to 12,18 and 6
\n" ); document.write( "Now you observe that one 2 and one 3 are present in 12, in 18 and in 6
\n" ); document.write( "Therefore 2X3 is a factor common to 12,18 and 6
\n" ); document.write( "You observe that nothing greater than 6 can be found common in all the given three numbers.
\n" ); document.write( "Thus 6 is the greatest common factor of 12,18 and 6
\n" ); document.write( "Now Consider a^3b^2, a^2b^3, a^4b^4
\n" ); document.write( "From the experience that we have gained out of the above illustration, we observe that a^2b^2 is present in each of the three and no higher power of a or b is found in all the three.]
\n" ); document.write( "[All that is given in brackets is for you to talk to yourself and see and understand. But the answer you should present in one stroke as follows:]
\n" ); document.write( "To find the GCF of
\n" ); document.write( "12a^3b^2, 18a^2b^3, 6a^4b^4
\n" ); document.write( "Now 12a^3b^2, 18a^2b^3, 6a^4b^4
\n" ); document.write( "= (6x2)(a^2b^2)X(a), (6x3)(a^2b^2)X(b), (6x1)(a^2b^2)x(a^2b^2)
\n" ); document.write( "= (6a^2b^2)X(2a),(6a^2b^2)X (3b),(6a^2b^2)X(a^2b^2)
\n" ); document.write( "Therefore the GCF is (6a^2b^2)
\n" ); document.write( "Note: In each of the three quantities in the final step the second part that is 2a and 3b and a^2b^2
\n" ); document.write( "you do not have anything common other than 1.
\n" ); document.write( "That should be your visual clue\r
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