Answer:
greatest number is 72
Step-by-step explanation:
Given 323 , 539 and 827
we will use remainder theorem
f(x) (dividend) = d(x)(divisor).q(x) (quotient) + r(x) (remainder)
given data which divides 323,539 and 827 leaving remainder '35'
323-35 = 288
539-35 = 504
827-35 = 792
now find all factors of these resulting numbers
288 = 2^5 X 3^2
504 = 2^3 X 3^2 X7
792 = 2^3 X 3^2 X11
all these take common factors is 2^3 X 3^2 = 8 X9 =72
There fore the greatest number of given data is 72.
