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FAIR VALUE DISCLOSURES (Narrative) (Details) - USD ($) | Dec. 31, 2018 | Sep. 30, 2018
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Fair Value Disclosures [Abstract] |  |
Mortgage Servicing Rights | $ 41,000 | $ 45,000

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- Definition Mortgage Servicing Rights. + References No definition available. + Details
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Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration