Disconnections from Live on one of three Gold accounts

Gold subscription Is not that on your console.. it's tied on your account. so as long as you signed the same profile as what you have Gold on the other console, you should Gold in the other one as well. But while you are playing on ONE. if someone uses
you account on your 360 and logs It in to Live. you will be disconnected from live.. until you sign the other one out... JUST ONE CONSOLE AT A TIME in short.

Hi there Abel A. If you have three consoles, you'll need three accounts. Two accounts can share Xbox Live Gold, not three. The third account will need separate subscription. In addition, an account can only be used on one console at a time. Have a great day.

It's been three days for me also. I try to log into my profile and after maybe 5 seconds a small box pops up at the bottom of the screen saying "Disconnecting from xbox Live." Then the error message comes on that says, "Can't connect to xbox live. Would
you like to check your connection? If you do you will loose progress on your game.... Lower on the screen there's the number 8015190A. Connection works fine. Silver accounts work fine. My gold account on my xbox one works fine.

Thanks for your response.

I don't need to move any of the accounts. Currently, I have one son at college, three accounts on my home unit, and one used by my stepson at his father's house (The family pack covered 4 gamertags and I paid for one individual membership for a Fifth).
I figure I'll need at least three Xbox live accounts to account for the three locations, but what I need to know is whether the three people who play from home will be able to access XBox Live using their own gamertags if we only have one XBox Live account
at home. The link you provided says "Through the new Home Gold feature, a single Xbox Live Gold membership allows anyone in your home to enjoy many Gold features, like multiplayer, access to Gold entertainment apps, and more on your Xbox One.** " That's
what the email I got said too, but I don't know if that means that everyone on the same 360 gets to keep their gamertags using one account or if I need to purchase individual memberships for everyone.

This link seems to answer some of my question:
support.xbox.com/.../xbox-live-gold-sharing-features. However, it doesn't answer two important questions:

1. Will these sharing features work on a 360 (as opposed to an XBox one)? The XBox One doesn't have any games I'm interested in and won't play any of my existing games and so seems, for the moment at least, like a huge waste of money.

2. If the "home gold" features work with the 360, will the three people in my house be able to use their existing gamertags to get on XBox live or need to create new ones?

Players receive this message for one of three reasons:

You do not have an active Xbox Live Gold account, which is required to play multiplayer games online. Sign up for an Xbox Live Gold account.
Your Xbox Live Gold account expired. Visit your Xbox Live account to renew your Xbox Live Gold subscription.
Your Xbox Live Gold account was recently renewed. Please allow up to 24 hours for Microsoft to process your transaction.

https://beta.support.xbox.com/help/account-profile/browse