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Binary and multiple stellar systems for an important part of stellar population of our Galaxy. Depending on the method of discovery of binarity, such stars are referred to using a number of datasets of observational parameters, dedicated catalogues and systems of identifiers. The task of linking of the identifiers with the proper entities within binary and multiple systems is solved by the index catalogue of the Binary star DataBase BDB (http://bdb.inasan.ru), named Identification List of binaries (ILB). This catalogue needs to be regularly updated, and recently the vast amount of results of the Gaia space mission has been published which contains, among other data, the data for non-single stars. Similarly, based on Gaia data, more than a million of wide binary stars were identified. We are developing the algorithm for cross-identification of the catalogue ILB comprising virtually all data for binary and multiple stars before Gaia, with the data for such stars based on Gaia results.