With G, C and D you have the three main chords of G major, and with Em and Am every chord of the key that doesn't need a barre. Hundreds of songs use nothing else.
G and C stretch the hand; D is small and sits on the top four strings only, so skip the two low strings when you strum it.
C
D
G
Try this
Play G C D G, four strums each. Then Em C G D, the chords of a lot of pop songs.
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