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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 Mid CapMotilal Oswal Midcap
Edelweiss Mid Cap
itself
0%
Motilal Oswal Midcap
0%
itself

Most alike: Edelweiss Mid Cap Fund and Motilal Oswal Midcap 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 Mid CapMotilal Oswal Midcap
CategoryMid CapMid Cap
Share of three-year stretches it beat its category P499% of 8354% of 109
Regular plan costs more than Direct by, a year P51.59%1.37%
Portfolio turned over a year P1not measured92%
Run by P7not knownRakesh Shetty · 3.8 yrs
1-year return7.1%−0.5%
3 years p.a.21.5%19.5%
5 years p.a.18.5%21.1%
Deepest fall (max drawdown)−20.1%−28.9%
Assets (AUM)₹16,310 Cr₹41,706 Cr
Disclosed history4.0 yrs
Holdings · top ten weight— · —32 · 54%

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.