Two successive digits and divisibility puzzle

[K Sengupta]

Determine all possible value(s) of a 8-digit base 10 positive integer having the form ABCDEFGH, where each of the capital letters denotes a different digit from 1 to 9, that satisfy each of the following conditions:

(I) AB is divisible by 2, and:

(II) BC is divisible by 6, and:

(III) CD is divisible by 7, and:

(IV) DE is divisible by 5, and:

(V) EF is divisible by 8, and:

(VI) FG is divisible by 9, and:

(VII) GH is divisible by 4

 

[Rogerio]

B C F H @ [2 4 6 8]
A D G @ [1 3 7 9]

DE/5 -> E=5
EF/8 -> EF=56-> F=6
FG/9 -> FG=63-> G=3
GH/4 -> GH=32-> H=2

A D @ [1 7 9]
B C @ [4 8]

CD/7 -> CD=49-> C=4, D=9, B=8
AB/2 -> A=1,7

ABCDEFGH=18495632, 78495632