The maximum number of students among whom 1092 pens and 2340 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils is:

13

1092 =  3 × 4 × 7 × 13

2340 =  2 × 9 × 10 × 13

H.C.F. of 1092 and 2340 = 13 

Maximum number of students who get same number of pens and same number of pencils is = HCF of 1092 & 2340 = 13