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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 NIFTY Large Midcap 250 IndexICICI Prudential Nifty 50 Index
Edelweiss NIFTY Large Midcap 250 Index
itself
0%
ICICI Prudential Nifty 50 Index
0%
itself

Most alike: Edelweiss NIFTY Large Midcap 250 Index Fund and ICICI Prudential Nifty 50 Index 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 NIFTY Large Midcap 250 IndexICICI Prudential Nifty 50 Index
CategoryIndex FundsIndex Funds
Share of three-year stretches it beat its category P4100% of 2246% of 109
Regular plan costs more than Direct by, a year P50.73%0.33%
Portfolio turned over a year P1not measured32%
Run by P7not knownNishit Patel · 5.7 yrs
1-year return0.2%−6.3%
3 years p.a.12.0%6.8%
5 years p.a.6.9%
Deepest fall (max drawdown)−18.9%−15.5%
Assets (AUM)₹318 Cr₹17,420 Cr
Disclosed history10 yrs
Holdings · top ten weight— · —52 · 53%

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.