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the smaller number
I can't give you an example of when that happens because that doesn't ever happen. The GCF of a pair of numbers can't be larger than the smaller number.
No, it is never bigger than the smaller number.
It depends on what they are compared to. In general, factors will be smaller than the number they are compared to, and multiples will be larger. Overall, factors tend to be smaller than multiples, but 20 is a factor of 40 and 10 is a multiple of 5, so there are exceptions.
When one of two numbers is a multiple of the other, the LCM is the larger number.