Divisors

Number Theory Level 2

When $$242$$ is divided by a certain divisor, the remainder obtained is $$8$$. When $$698$$ is divided by the same divisor, the remainder obtained is $$9$$. However, when the sum of $$242$$ and $$698$$ is divided by the divisor, the remainder obtained is $$4$$. What is the value of the divisor?

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