Answer:
1 time
Step-by-step explanation:
Given numbers are 54 and 36.
The greatest common divisor of 54 and 36 = 18
So,
.
The least common multiple of 54 and 36 = 108
So,
.
As 54 is replaced by
and 36 is replaced by
, so after applying the given procedure, the new number is
![(a_1, b_1)=(18, 108)\cdots(i)](https://tex.z-dn.net/?f=%28a_1%2C%20b_1%29%3D%2818%2C%20108%29%5Ccdots%28i%29)
Now, apply the same procedure, to get
and
.
The greatest common divisor of 18 and 108 = 18
So,
.
The least common multiple of 18 and 108 = 108
So,
.
As
is replaced by
and
is replaced by
, so after applying the given procedure, the new number is
which is the same as in equation (i)
Hence, after applying the procedure 1 time after
, the obtained number
is the same as
.