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4 votes
B)
Find the greatest number which divides 323, 539 and 827 leaving remainder 35
each case​

User Anguraj
by
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1 Answer

3 votes

Answer:

greatest number is 72

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.

User Barry Sohl
by
6.9k points