What is the highest number which when divides the numbers 1026, 2

What is the highest number which when divides the numbers 1026, 2
| What is the highest number which when divides the numbers 1026, 2052 and 4102, leaving remainders 2, 4 and 6 respectively?

A. 512

B. 1024

C. 128

D. 256

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

The highest number which when divides the numbers 1026, 2052 and 4102, leaving remainders 2, 4 and 6 respectively, then

⇒ 1026 - 2 = 1024

⇒ 2052 - 4 = 2048

⇒ 4102 - 6 = 4096

HCF of 1024, 2048 and 4096 is 1024