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FAIR VALUE DISCLOSURES (Narrative) (Details) - USD ($)	Mar. 31, 2019	Sep. 30, 2018
Fair Value Disclosures [Abstract]
Mortgage Servicing Rights	$ 37,000	$ 45,000

X

- Definition

Mortgage Servicing Rights.

+ References

No definition available.

+ Details

Name:	mgyr_MortgageServicingRightsMSRs
Namespace Prefix:	mgyr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- References

No definition available.

+ Details

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