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openstreetmap - Overpass API: Find intersection node of ways

I want to identify the center node of an intersection closest to a clicked point. To identify the ways (available for cars) close to that point I use:

    (
        way[maxspeed](around:15,50.77128,6.07841);
        >;
    );       
    out body;

Now I would like to find out which of the found nodes in contained in every of the ways and only return that.
Is there a way to do that using Overpass API or do I need to do that in postprocessing?

question from:https://stackoverflow.com/questions/65859595/overpass-api-find-intersection-node-of-ways

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