document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311053>Question 311053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a for instance 4/63+1/45<BR>\n" );
document.write( "i can find GCF eventually just guessing, and same with simplifying answer of 27/315 to 3/35, but i do it by picking factors and narrowing it down until i find one that works.  how can i find GCF faster and simplify it faster?\r<BR>\n" );
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document.write( "Thanks for the help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222480 by </B><A HREF=/tutors/aboutme.mpl?userid=JBarnum><B>JBarnum(2146)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JBarnum><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=JBarnum><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=222480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the fastest way i do it when i dont want to take the time to find one i just multiply the to denominators together and then simplify<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=63%2A45=2835 ALIGN=MIDDLE  ALT=\"63%2A45=2835\"   DISABLED_style= \"max-width:90%; height:auto;\" > but that does seem to make  big numbers <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28180%2F2835%29%2B%2863%2F2835%29=%28243%2F2835%29 ALIGN=MIDDLE  ALT=\"%28180%2F2835%29%2B%2863%2F2835%29=%28243%2F2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > both 243 and 2835 divisable by 9 so (27/315) but its still divisible by 9 so (3/35).<BR>\n" );
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document.write( "the best way to factor them is to factor the denominators seperatly<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=63=7%2A3%2A3 ALIGN=MIDDLE  ALT=\"63=7%2A3%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45=5%2A3%2A3 ALIGN=MIDDLE  ALT=\"45=5%2A3%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "what u want to do is keep what factors are in common: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3 ALIGN=MIDDLE  ALT=\"3%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and include the other factors from both that arent in common:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3%2A5%2A7=315 ALIGN=MIDDLE  ALT=\"3%2A3%2A5%2A7=315\"   DISABLED_style= \"max-width:90%; height:auto;\" > 315 is the LCF (lowest common factor) and by looking at the factors you know to multiply a 5 to the 4 and a 7 to the 1 so: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820%2F315%29%2B%287%2F315%29=%2827%2F315%29 ALIGN=MIDDLE  ALT=\"%2820%2F315%29%2B%287%2F315%29=%2827%2F315%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F35%29 ALIGN=MIDDLE  ALT=\"%283%2F35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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