document.write( "Question 572882: What is the Greatest common factor of 36,54,81,99 \n" ); document.write( "
Algebra.Com's Answer #368552 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here is how to find both the GCF and the LCM:\r\n" );
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document.write( "Break them all into primes:\r\n" );
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document.write( "36 = 6×6 = (2×3)×(2×3) = 2×2×3×3\r\n" );
document.write( "54 = 9×6 = (3×3)×(2×3) = 2×3×3×3\r\n" );
document.write( "81 = 9×9 = (3×3)×(3×3) = 3×3×3×3\r\n" );
document.write( "99 = 9×11 = (3×3)×11 = 3×3×11\r\n" );
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document.write( "Now line up the factors so that there are only like factors\r\n" );
document.write( "in each column, like this:\r\n" );
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document.write( " 36 = 2×2×3×3\r\n" );
document.write( " 54 =   2×3×3×3\r\n" );
document.write( " 81 =     3×3×3×3\r\n" );
document.write( " 99 =     3×3    ×11\r\n" );
document.write( "--------------------\r\n" );
document.write( "GCF =\r\n" );
document.write( "LCM =\r\n" );
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document.write( "For the GCF bring down only the columns that\r\n" );
document.write( "have no skips, that is, that are common to all,\r\n" );
document.write( "that is, those ehich have 4 in them,\r\n" );
document.write( "which are the two columns of 4 3's:\r\n" );
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document.write( " 36 = 2×2×3×3\r\n" );
document.write( " 54 =   2×3×3×3\r\n" );
document.write( " 81 =     3×3×3×3\r\n" );
document.write( " 99 =     3×3    ×11\r\n" );
document.write( "--------------------\r\n" );
document.write( "GCF =     3×3\r\n" );
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document.write( "For the LCM bring down EVERY column:\r\n" );
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document.write( " 36 = 2×2×3×3\r\n" );
document.write( " 54 =   2×3×3×3\r\n" );
document.write( " 81 =     3×3×3×3\r\n" );
document.write( " 99 =     3×3    ×11\r\n" );
document.write( "--------------------\r\n" );
document.write( "GCF =     3×3\r\n" );
document.write( "LCM = 2×2×3×3×3×3×11\r\n" );
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document.write( "Now multiply to get the GCF and the LCM\r\n" );
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document.write( " 36 = 2×2×3×3\r\n" );
document.write( " 54 =   2×3×3×3\r\n" );
document.write( " 81 =     3×3×3×3\r\n" );
document.write( " 99 =     3×3    ×11\r\n" );
document.write( "--------------------\r\n" );
document.write( "GCF =     3×3        = 9\r\n" );
document.write( "LCM = 2×2×3×3×3×3×11 = 3564\r\n" );
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document.write( "Edwin

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