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Intangible Assets - Schedule of Quantitative Assessment of the Reporting Units’ Fair Value (Details)	12 Months Ended
	Dec. 31, 2024
Aeronautics [Member]
Schedule of Quantitative Assessment of the Reporting Units’ Fair Value [Line Items]
Discount rate	19.00%
Terminal growth rate	3.00%
Architecture [Member]
Schedule of Quantitative Assessment of the Reporting Units’ Fair Value [Line Items]
Discount rate	19.00%
Terminal growth rate	3.00%
Automotive [Member]
Schedule of Quantitative Assessment of the Reporting Units’ Fair Value [Line Items]
Discount rate	19.00%
Terminal growth rate	3.00%
Safety tech [Member]
Schedule of Quantitative Assessment of the Reporting Units’ Fair Value [Line Items]
Discount rate	19.00%
Terminal growth rate	3.00%

X

- Definition

Percentage of intangible assets discount rate.

+ References

No definition available.

+ Details

Name:	gauz_IntangibleAssetsDiscountRate
Namespace Prefix:	gauz_
Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Percentage of intangible assets terminal growth rate.

+ References

No definition available.

+ Details

Name:	gauz_IntangibleAssetsTerminalGrowthRate
Namespace Prefix:	gauz_
Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	gauz_QuantitativeAssessmentOfTheReportingUnitsFairValueLineItems
Namespace Prefix:	gauz_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis=gauz_AeronauticsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis=gauz_ArchitectureMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis=gauz_AutomotiveMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis=gauz_SafetyTechMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: