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FAIR VALUE DISCLOSURES (Schedule of Additional Quantitative Information About Assets Measured at Fair Value) (Details) (Fair Value Measured on a Nonrecurring Basis [Member], USD $) In Thousands, unless otherwise specified	6 Months Ended
	Mar. 31, 2015
Impaired Loans
Fair value estimate	$ 2,475us-gaap_AssetsFairValueDisclosureNonrecurring / us-gaap_FairValueByMeasurementBasisAxis = mgyr_ImpairedLoansMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember
Valuation techniques and Unobservable Input	Appraisal of collateral; Liquidation expenses
Impaired Loans | Weighted Average [Member]
Fair value input- appraisal of collateral	(16.60%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_ImpairedLoansMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_WeightedAverageMember
Impaired Loans | Minimum [Member]
Fair value input- appraisal of collateral	(16.00%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_ImpairedLoansMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_MinimumMember
Impaired Loans | Maximum [Member]
Fair value input- appraisal of collateral	(18.00%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_ImpairedLoansMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_MaximumMember
Other Real Estate Owned
Fair value estimate	$ 2,998us-gaap_AssetsFairValueDisclosureNonrecurring / us-gaap_FairValueByMeasurementBasisAxis = mgyr_OtherRealEstateOwnedMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember
Valuation techniques and Unobservable Input	Appraisal of collateral; Appraisal adjustments
Other Real Estate Owned | Weighted Average [Member]
Fair value input- appraisal of collateral	(19.10%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_OtherRealEstateOwnedMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_WeightedAverageMember
Other Real Estate Owned | Minimum [Member]
Fair value input- appraisal of collateral	(8.00%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_OtherRealEstateOwnedMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_MinimumMember
Other Real Estate Owned | Maximum [Member]
Fair value input- appraisal of collateral	(29.50%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_OtherRealEstateOwnedMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_MaximumMember

X

- Definition

Measure of appraisal of collateral, in percentage terms.

+ References

No definition available.

+ Details

Name:	mgyr_FairValueAssumptionsAppraisalOfCollateral
Namespace Prefix:	mgyr_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

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

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

X

- Definition

Description of the inputs and valuation technique(s) used to measure fair value.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 820

-SubTopic 10

-Section 50

-Paragraph 2

-Subparagraph (bbb)

-URI http://asc.fasb.org/extlink&oid=36462937&loc=d3e19207-110258

+ Details

Name:	us-gaap_FairValueMeasurementsValuationTechniques
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_FairValueByMeasurementBasisAxis=mgyr_ImpairedLoansMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_FairValueByMeasurementBasisAxis=mgyr_OtherRealEstateOwnedMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: