document.write( "Question 1182881: Three friends are packing sweets into gift boxes. They agree that each box should contain the same number of sweets, but they are each working in separate locations with their own pile of sweets so cannot share boxes.
\n" ); document.write( "Gwen has 286 sweets, Bill has 390 sweets and Zeta has 468 sweets. If they put the largest number of sweets into each box that they can and they use up all their sweets, how many boxes of sweets will they pack? \n" ); document.write( "

Algebra.Com's Answer #812979 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "Three friends are packing sweets into gift boxes. They agree that each box should contain the same number of sweets,
\n" ); document.write( "but they are each working in separate locations with their own pile of sweets so cannot share boxes.
\n" ); document.write( "Gwen has 286 sweets, Bill has 390 sweets and Zeta has 468 sweets. If they put the largest number of sweets
\n" ); document.write( "into each box that they can and they use up all their sweets, how many boxes of sweets will they pack?
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document.write( "This problem is to find the Greatest Common Divisor (GCD) of the numbers 286, 390 and 468.\r\n" );
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document.write( "These numbers have common divisors 13 and 2 and have no other prime common divisors.\r\n" );
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document.write( "So, their greatest common divisor is 13*2 = 26.\r\n" );
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document.write( "THEREFORE, the three friends should put 26 sweets into each box.\r\n" );
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document.write( "Doing this way, they will fill   = 44 boxes.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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