Dear Student,
First we prime factorise the given numbers : 1260 , 7344
Prime Factorisation of 1260 = 2 x 2 x 3 x 3 x 5 x 7
Prime Factorisation of 7344 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17
Taking the Common Factors = 2,2,3,3
Therefore, HCF of 1260 and 7344 = 2 x 2 x 3 x 3 = 36
Regards,