Find the largest number which can divide 4059, 4264 and 4182.Choices:- 43 42 123 41
Question
Find the largest number which can divide 4059, 4264 and 4182.
Choices:
- 43
- 42
- 123
- 41
Solution
To find the largest number that can divide 4059, 4264, and 4182, we need to find the greatest common divisor (GCD) of these three numbers.
Step 1: First, we find the GCD of the first two numbers, 4059 and 4264. Using the Euclidean algorithm, we find that the GCD is 205.
Step 2: Next, we find the GCD of the result from step 1 (205) and the third number (4182). Using the Euclidean algorithm again, we find that the GCD is 41.
Therefore, the largest number that can divide 4059, 4264, and 4182 is 41.
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