Let ABC be a 3-digit number such that its digits A, B, and C form and arithmetic sequence. The largest integer that divides all numbers of form ABCABC is.....?
please give me the complete solution of this problem.....
Let ABC be a 3-digit number such that its digits A, B, and C form and arithmetic sequence. The largest integer that divides all numbers of form ABCABC is.....?
please give me the complete solution of this problem.....
Hello, jpmath2010!
Now I get it . . .
Let be a 3-digit number such that its digits form and arithmetic sequence.
Find the largest integer that divides all numbers of form
Let = hundreds digit of the three-digit number,
. . and be the common difference of the arithmetic sequence.
Then: .
Hence: .
Therefore, the largest divisor is