Advent calendar 2021
6 December
When 12345 is divided by today's number, the remainder is 205. When 6789 is divided by today's number, the remainder is 112.
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The first division tells that 12345 is 205 more than a mutliple of today's number, and so today's numwber is a factor of 12140.
The second division tells that 6789 is 112 more than a mutliple of today's number, and so today's number is a factor of 6677.
The only numbers that are factors of both 12240 and 6677 are 1 and 607.
