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Question
Find the greatest number which divides 2011 and 2623, leaving remainders 9 and 5 respectively.
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Solution
Clearly, we have to find the number which exactly divides (2011 − 9) and (2623 − 5).
So, the required number is the HCF of 2002 and 2618.
∴ The required number is 154.
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