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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

X

- 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

X

- 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

X

- 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

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Details

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Namespace Prefix:
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Balance Type:
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X

- Details

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Balance Type:
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- Details

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- Details

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- Details

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