EXHIBIT 23.1 CONSENT OF INDEPENDENT ACCOUNTANTS We hereby consent to the use in the Consent Solicitation/Prospectus constituting part of the Registration Statement on Form S-4 (33-63993) of EMC Corporation of our report dated April 19, 1995 relating to the consolidated financial statements of McDATA Corporation, which appears in such Consent Solicitation/Prospectus. We also consent to the reference to us under the heading "Experts" in such Consent Solicitation/Prospectus. PRICE WATERHOUSE LLP Boulder, Colorado November 27, 1995