document.write( "Question 972307: the gcd of two number is 17 and lcm is 765.how many pairs of value can the number assume \n" ); document.write( "
Algebra.Com's Answer #594697 by ankor@dixie-net.com(22740)\"\" \"About 
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the gcd of two number is 17 and lcm is 765.
\n" ); document.write( "how many pairs of values can the number
\n" ); document.write( ":
\n" ); document.write( "let 17x = one of a pair of numbers
\n" ); document.write( "let 17y = the other number
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\n" ); document.write( "17x * 17y = 765
\n" ); document.write( "289xy = 765
\n" ); document.write( "simplify, divide by 17
\n" ); document.write( "xy = 45
\n" ); document.write( "Factor pairs of 45: 5*9; 3*15
\n" ); document.write( "therefore the numbers
\n" ); document.write( "5*17 = 85
\n" ); document.write( "9*17 = 153
\n" ); document.write( "and
\n" ); document.write( "3*17 = 51
\n" ); document.write( "15*17 = 255
\n" ); document.write( ":
\n" ); document.write( "I can find two pairs: 85 & 153; 51 & 255
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