<PRE><B>Question 1058271</B>
Taking 3 from each of the three numbers gives:


1323 - 3 = 1320


1587 - 3 = 1584


1851 - 3 = 1848


The prime factorization of the three values (1320, 1584, 1848) is:


1320 = 2^3 * 3 * 5 * 11


1584 = 2^4 * 3^2 * 11


1848 = 2^3 * 3 * 7 * 11


The greatest common factor is found by taking the product of the 
highest common factors from the prime factorizations. Those factors 
are 2^3, 3, and 11.


GCF = 2^3 * 3 * 11 = 8 * 3 * 11 = 24 * 11 = 264


Solution: The greatest number that divides 1323, 1587, and 1851, each with a remainder of 3 is 264.
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