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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

BANDHAN MID CAPHDFC Mid Cap
BANDHAN MID CAP
itself
29%
HDFC Mid Cap
29%
itself

Most alike: BANDHAN MID CAP FUND and HDFC Mid Cap Fund share 29% 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

MeasureBANDHAN MID CAPHDFC Mid Cap
CategoryMid CapMid Cap
Share of three-year stretches it beat its category P436% of 1466% of 109
Regular plan costs more than Direct by, a year P51.81%0.92%
Portfolio turned over a year P172%38%
Run by P7Harshal Joshi · ≥ 3.5 yrsnot known
1-year return10.1%6.6%
3 years p.a.19.0%17.6%
5 years p.a.18.9%
Deepest fall (max drawdown)−22.7%−16.8%
Assets (AUM)₹2,403 Cr₹1.07 lakh Cr
Disclosed history3.4 yrs10 mo
Holdings · top ten weight91 · 27%81 · 37%

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.