anonymous
  • anonymous
hi my name is alicia and am havin truble finding the gcf of 252 and 480
Mathematics
jamiebookeater
  • jamiebookeater
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nikvist
  • nikvist
\[252=2\cdot 2\cdot 3\cdot\ 3\cdot 7\] \[480=2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 5\] GCF is \[2\cdot 2\cdot 3=12\]
anonymous
  • anonymous
480 - 252 = 228 252 - 228 = 24 252 - 10 x 24 = 12 12 | 24 => 12 is the GCF See 'Euclidean Algorithm' for more. You can do it the babyish way above for small numbers, but when prime factorisation is computationally difficult, you'll come crawling back to Euclid.

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