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FAIR VALUE DISCLOSURES (Schedule of Assets Measured at Fair Value On a Non-Recurring Basis) (Details) - Fair Value Measured on a Nonrecurring Basis [Member] - USD ($) $ in Thousands | Sep. 30, 2016 | Sep. 30, 2015
--- | --- | ---
Fair Value [Member] |  |
Impaired loans | $ 958 | $ 1,489
Other real estate owned | 12,082 | 16,192
Assets measured at fair value on a non-recurring basis | 13,040 | 17,681
Fair Value, Inputs, Level 2 [Member] |  |
Impaired loans |  |
Other real estate owned |  |
Assets measured at fair value on a non-recurring basis |  |
Fair Value, Inputs, Level 3 [Member] |  |
Impaired loans | 958 | 1,489
Other real estate owned | 12,082 | 16,192
Assets measured at fair value on a non-recurring basis | 13,040 | 17,681
Fair Value, Inputs, Level 1 [Member] |  |
Impaired loans |  |
Other real estate owned |  |
Assets measured at fair value on a non-recurring basis |  |

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- Definition Fair value portion of impaired loans. + References No definition available. + Details
Name: | mgyr_ImpairedLoansFairValueDisclosure
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Fair value portion of other real estate owned. + References No definition available. + Details
Name: | mgyr_OtherRealEstateOwnedFairValueDisclosure
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition This element represents the aggregate of the assets reported on the balance sheet at period end measured at fair value on a nonrecurring basis by the entity. This element is intended to be used in connection with the fair value disclosures required in the footnote disclosures to the financial statements. + References No definition available. + Details
Name: | us-gaap_AssetsFairValueDisclosureNonrecurring
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Details
Name: | us-gaap_FairValueByMeasurementFrequencyAxis=us-gaap_FairValueMeasurementsNonrecurringMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_FairValueByMeasurementBasisAxis=us-gaap_EstimateOfFairValueFairValueDisclosureMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
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- Details
Name: | us-gaap_FairValueByFairValueHierarchyLevelAxis=us-gaap_FairValueInputsLevel2Member
Namespace Prefix: |
Data Type: | na
Balance Type: |
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- Details
Name: | us-gaap_FairValueByFairValueHierarchyLevelAxis=us-gaap_FairValueInputsLevel3Member
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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