According to the will, 13 diamond will be divided into 1\2 (13 \ 2 = 6 and 1\2), and the second diamond will be divided into1\ 3 (13 \ 3 =.

The number of diamonds to be divided is: 61\ 2+31\ 3+41\ 4.

(6+4+3)+( 1\2+ 1\3+ 1\4)= 13+( 1\2+ 1\3+ 1\4)

At present, the number of diamonds is 13, and the latter (1\ 2+1\ 3+1\ 4) is owed by the rich to their daughters. There is no such thing.

So the number of diamonds the three daughters got was: six for the eldest daughter, four for the second daughter and three for the third daughter.