"To share some genes" means that two or more living beings have some similarities in their genetic makeup. It usually refers to family members who have inherited common traits from their parents. Full definition
Just because living creatures share some genes with humans does not mean there is a linear ancestry. (religion.blogs.cnn.com)
If I help someone who does not share these genes for helping behavior, I am making it less likely that my form of helping will exist in the next generation. (christopherxjjensen.com)
The lack of shared genes leaves me feeling a bit sad or sorry at times like I'm somehow not getting the full parenting experience. (karenscalling.com)