Correct option is A
Given:
We need to find the greatest number which when divides 92 and 215, leaves remainders 7 and 11, respectively.
Solution:
Let the required number be d
For 92, the modified number will be 92 - 7 = 85
For 215, the modified number will be 215 - 11 = 204
First, we calculate the GCD of 85 and 204 using the Euclidean algorithm:
204 ÷ 85 = 2 remainder 34
85 ÷ 34 = 2 remainder 17
34 ÷ 17 = 2 remainder 00
Since the remainder is 0, the GCD of 85 and 204 is 17
Thus, the greatest number is 17
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