For acute gout: first answer is always indomethacin (or an NSAID, e.g., naproxen). If that doesn't work, the next answer is steroids. If that doesn't work --> colchicine.
And Worldbeater has raised a great point that if the patient is a renal transplant recipient or has renal insufficiency of any kind, intra-articular steroid injection is correct over NSAIDs or colchicine. If the gout is polyarticular in this case, answer is PO/SC/IM/IV steroids (answer would be oral or IV).
And if the patient is on aspirin as a regular med and gets acute gout, answer is still indomethacin over steroids.
For chronic gout: allopurinol or febuxostat is the first answer. Avoid probenecid or sulfinpyrazone if the patient is an over-excreter (cuz these further increase risk of urate stones). Rasburicase or pegloticase are often never the answer unless they specifically ask for which drug is a urate oxidase analogue. Never give allopurinol or febuxostat if giving 6-MP or azathioprine (since these latter two drugs require xanthine oxidase for breakdown).
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Probably more information than you wanted. And I'm sure you knew this stuff already. But I saw this gout post and got excited.