Answer :

144, 233

Here, 233 > 144


233 = 144 × 1 + 89


144 = 89 × 1 + 55


89 = 55 × 1 + 34


55 = 34 × 1 + 21


34 = 21 × 1 + 13


21 = 13 × 1 + 8


13 = 8 × 1 + 5


8 = 5 × 1 + 3


5 = 3 × 1 + 2


3 = 2 × 1 + 1


2 = 1 × 2 + 0


The last non- zero remainder is 1.


Therefore, g. c. d (144, 233) = 1


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