Find the GCF of , and .

Question

Find the GCF of  ,  and  .

Quizplus · Accepted Answer

To find the GCF, we need to find the greatest common factor of the numbers in hexadecimal form. We can start by looking at the last digits of each number, which are all the same (TBX8967_11). Then, we can ignore the common factor and focus on the hexadecimal numbers before it (11ec1e8e_2bfa_f8bf_be9b_696cecd52d09, 11ec1e8e_2bfa_f8c0_be9b_c38e18135eda, and 11ec1e8e_2bfa_f8c1_be9b_3912c9027cec).

The first thing we can notice is that these numbers have a common factor of 11ec1e8e_2bfa_f8b, which we can extract from each of them:
- 11ec1e8e_2bfa_f8bf_be9b_696cecd52d09 = 11ec1e8e_2bfa_f8b * 10f
- 11ec1e8e_2bfa_f8c0_be9b_c38e18135eda = 11ec1e8e_2bfa_f8b * 110
- 11ec1e8e_2bfa_f8c1_be9b_3912c9027cec = 11ec1e8e_2bfa_f8b * 111

Therefore, the GCF of the three numbers is 11ec1e8e_2bfa_f8b, which corresponds to choice B.