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LOANS RECEIVABLE, NET AND RELATED ALLOWANCE FOR LOAN LOSSES (Details) - Schedule of troubled debt restructuring $ in Thousands | 3 Months Ended
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Dec. 31, 2022 USD ($)
Financing Receivable, Troubled Debt Restructuring [Line Items] |
Number of Loans | 1
Investment Before TDR Modification | $ 97
Investment After TDR Modification | $ 107
One-to four-family residential [Member] |
Financing Receivable, Troubled Debt Restructuring [Line Items] |
Number of Loans | 1
Investment Before TDR Modification | $ 97
Investment After TDR Modification | $ 107

X
- Definition Amount of Investment After TDR Modification. + References No definition available. + Details
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Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition The amont of Investment Before TDR Modification. + References No definition available. + Details
Name: | mgyr_InvestmentBeforeTDRModification
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Number of financing receivables that have been modified by troubled debt restructurings. + References No definition available. + Details
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Namespace Prefix: | mgyr_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | duration

X
- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
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Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |