# Prove that the fraction #(21n+4)/(14n+3)# is irreducible for every #n in NN#?

##### 1 Answer

Nov 10, 2016

Calculate the GCF of

#### Explanation:

Calculate the GCF of

#(21n+4)/(14n+3) = 1" "# with remainder#7n+1#

#(14n+3)/(7n+1) = 2" "# with remainder#1#

#(7n+1)/1 = 7n+1" "# with remainder#0#

So the GCF is