The most compelling evidence that the 15 species of finch evolved from a common ancestor is:
DNA analysis shows that their DNA is almost identical with only minor changes.
This molecular evidence supports the theory of common descent and indicates that these finches share a recent common ancestor, fitting within the framework of evolutionary biology. Additionally, the observation of similarities along with variations in beak size and shape, as well as their geographic isolation, can further corroborate this conclusion. However, the DNA analysis provides a strong, quantifiable basis for understanding their evolutionary relationship.