Periodenlänge 1 und 2
Kettenbruch	Irrationalzahl		Bemerkungen
	Zähler	Nenner
[2;4]	√5	1
[2;3,4]	√48 = 4×√3	3	4/3×[1;2,1] = [2;3,4] 1/3×[6;1,12]=[2;3,4]
[2;2,4]	√6	1
[2;1,4]	√8 = 2×√2	1	2×[1;2] = 2×[1;2,2] = [2;1,4]
[3;6]	√10	1
[3;5,6]	√255	5	1/5×[15;1,30] = [3;5,6]
[3;4,6]	√42	2	1/2×[6;2,12] = [3;4,6]
[3;3,6]	√11	1
[3;2,6]	√12 = 2×√3	1	2×[1;1,2] = [3;2,6]
[3;1,6]	√15	1
[4;8]	√17	1
[4;7,8]	√840 = 2×√210	7	2/7×[14;2,28] = [4;7,8]
[4;6,8]	√156 = 2×√39	3	2/3×[6;4,12] = [4;6,8]
[4;5,8]	√440 = 2×√110	5	2/5×[10;2,20] = [4;5,8]
[4;4,8]	√18 = 3×√2	1	3×[1;2] = [4;4,8]
[4;3,8]	√168 = 2×√42	3	2/3×[6;2,12] = [4;3,8]
[4;2,8]	√20 = 2×√5	1	2×[2;4] = 2×[2;4,4] = [4;2,8]
[4;1,8]	√24 = 2×√6	1	2×[2,2;4] = [4;1,8]
[5;10]	√26	1
[5;9,10]	√235	3	1/3×[15,3;30] = [5;9,10]
[5;8,10]	√105	2	1/2×[10,4;20] = [5;8,10]
[5;7,10]	√1295	7	1/7×[35;1,70] = [5;7,10]
[5;6,10]	√240 = 4×√15	3	4/3×[3;1,6] = [5;6,10] 1/3×[15;2,30] = [5;6,10]
[5;5,10]	√27 = 3×√3	1	3×[1;1,2] = [5;5,10]
[5;4,10]	√110	2	1/2×[10;2,20] = [5;4,10]
[5;3,10]	√255	3	1/3×[15;1,30] = [5;3,10]
[5;2,10]	√30	1
[5;1,10]	√35	1
[6;12]	√37	1
[6;11,12]	√4488 = 2×√1122	11	2/11×[33;2,66] = [6;11,12]
[6;10,12]	√930	5	1/5×[30;2,60] = [6;10,12]
[6;9,12]	√336 = 4×√21	3	4/3×[4;1,1,2,1,1,8] = [6;9,12] 1/3×[18;3,36] = [6;9,12]
[6;8,12]	√150 = 5×√6	2	5/2×[2;2,4] = [6;8,12] 1/2×[12;4,24] = [6;8,12]
[6;7,12]	√1848 = 2×√462	7	2/7×[21;2,42] = [6;7,12]
[6;6,12]	√38	1
[6;5,12]	√960 = 8×√15	5	8/5×[3;1,6] = [6;5,12] 1/5×[30;1,60] = [6;5,12]
[6;4,12]	√39	1
[6;3,12]	√40 = 2×√10	1	2×[3;6,6] = [6;3,12]
[6;2,12]	√42	1
[6;1,12]	√48 = 4×√3	1	3×[3;6,6] = [6;1,12]
[7;14]	√50 = 5×√2	1	5×[1;2] = [7,14]
[7;13,14]	√7389 = 3×√821	13	3/13×[28;1,1,1,7,1,1,10,1,13,… …2,2,2,1,1,1,1,2,2,2,… …13,1,10,1,1,7,1,1,1,56] = [7;13,14] 1/13×[85;1,23,1,1,3,3,4,2,8,… …6,1,3,7,4,1,1,1,3,5,1,1,1,7,1,18,… …4,1,1,2,5,1,2,1,42,4,5,1,8,… …4,1,3,1,33,1,1,2,4,1,1,18,… …1,1,4,2,1,1,33,1,3,1,4,8,… …1,5,4,42,1,2,1,5,2,1,1,4,18,… …1,7,1,1,1,5,3,1,1,1,4,7,3,1,6,8,… …2,4,3,3,1,1,23,1,170] = [7;13,14]
[7;12,14]	√7224 = 2×√1806	3	2/3×[42;2,84] = [7;12,14] 1/3×[84;1,168] = [7;12,14]
[7;11,14]	√6083	11	1/11×[77;1;154] = [7;11,14]
[7;10,14]	√1260 = 6×√35	5	6/5×[5;1,10] = [7;10,14] 1/5×[35;2,70] = [7;10,14]
[7;9,14]	√455	3	1/3×[21;3,42] = [7;9,14]
[7;8,14]	√203	2	1/2×[14;4,28] = [7;8,14]
[7;7,14]	√51	1
[7;6,14]	√462	3	1/2×[21;2,42] = [7;6,14]
[7;5,14]	√1295	5	1/5×[35;1,70] = [7;5,14]
[7;4,14]	√210	2	1/2×[14,2,28] = [7;4,14]
[7;3,14]	√483	3	1/3×[21,1,42] = [7;3,14]
[7;2,14]	√56 = 2×√14	1	2×[3;1,2,1,6] = [7;2,14]
[7;1,14]	√63 = 3×√7	1	3×[2;1,1,1,4] = [7;1,14]