They hold almost the same meaning : too much.
But 过分 seems more formal than 离谱.
It differs from man to man , but at least I think so.
Do not believe the ones who said "这两个词意思不同" above.
Their answers seem a little ridiculous.
2017年8月26日
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过分 = too much, excessive
离谱 = ridiculous (beyond reasonable limits), literally, "off the music score/manual"