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Up to six funds side by side, and how much of each is the same portfolio as the others. Overlap is Σ min(weight) over the stocks both hold, from the latest disclosures.

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Overlap

share of the portfolio the two funds hold in common

Edelweiss Income Plus Arbitrage Omni Fund of FundsHDFC Gold ETF Fund of
Edelweiss Income Plus Arbitrage Omni Fund of Funds
itself
0%
HDFC Gold ETF Fund of
0%
itself

Most alike: Edelweiss Income Plus Arbitrage Omni Fund of Funds and HDFC Gold ETF Fund of Fund share 0% of their portfolios. Two funds this different are doing different things; whether that is what you want is a separate question.

Side by side

record, cost, returns, drawdown, size

MeasureEdelweiss Income Plus Arbitrage Omni Fund of FundsHDFC Gold ETF Fund of
CategoryFoF DomesticFoF Domestic
Share of three-year stretches it beat its category P4not measured52% of 109
Regular plan costs more than Direct by, a year P50.25%not measured
Portfolio turned over a year P1not measurednot measured
Run by P7not knownnot known
1-year return5.8%34.6%
3 years p.a.—35.2%
5 years p.a.—25.6%
Deepest fall (max drawdown)−0.2%−24.8%
Assets (AUM)₹215 Cr₹12,132 Cr
Disclosed history—1.8 yrs
Holdings · top ten weight— · —3 · 100%

Funds in different categories are not comparable on returns — a category error is the first thing the postulates refuse to make. Compare each to its own category on its fund page.