linux - grep from tar.gz without extracting [faster one]

Question

Am trying to grep pattern from dozen files .tar.gz but its very slow

am using

tar -ztf file.tar.gz | while read FILENAME
do
        if tar -zxf file.tar.gz "$FILENAME" -O | grep "string" > /dev/null
        then
                echo "$FILENAME contains string"
        fi
done

Answer 1

If you have zgrep you can use

zgrep -a string file.tar.gz