Citation databases have been developed for evaluating publications. They allow you to check citations for publications indexed within them and see, for example, which articles or journals are the most cited ones.
Web of Science is a multidisciplinary database, where you can find citation counts. This Clarivate Analytics's database is actually a combination of several databases and that's why you can get several citation counts from the database. The Web of Science Core Collection is generally used for retrieving citation counts.
Even though the database is multidisciplinary, the coverage is not the same for all disciplines.
Excellent coverage: Hard sciences, as chemistry, clinical medicine, biochemistry
Good coverage: Psychology, mathematics, economics, technology
Moderate/low coverage: Humanities and social sciences
1. Access the Web of Science database.
2. Write the title of the article to the search box and select Title from the drop down menu. 
3. After clicking Search, you will see the article information, if the article is included in the database. If you don't get any results, try to search again without special characters such as semicolon.
4. On the right side of the result list you can see the number of citations from Web of Science Core collection. This is the most used source for reporting citation counts.
5. If you want to check how many citations the article has received from Web of Science databases other than Core Collection, click the title of the article. On the right side of the page you can see the number of citations from Core Collection and from All Databases. When you click See more counts, you can see the citation counts from the other databases.
1. Retrieve the article as instructed above.
2. Click the number of Citations on the right.
3. Now you see all the articles that are citing the article of your interest.
4. Go to the left side bar and select Authors and then more options/values.
5. Now you can see all the authors of the citing articles. If there are more than 100 authors within the citing articles, use the Search for authors -box above the authors list.
6. Select the authors of the article of your interest and click Exclude.
7. Now you are back on the list of the citing article. From Citing article you can see what is the citation count without self-citations.
If you want to search the citation counts for all of your articles, check the instructions How to find h-index in Web of Science.
Scopus is a multidisciplinary citation database owned by Elsevier. Scopus contains citation data extensively from year 1996 onwards but they have an ongoing project to add pre-1996 references to the database.
Even though Scopus is multidisciplinary, the coverage is not the same for all disciplines. Scopus has better coverage in humanities when compared to Web of Science but its coverage is best in science, engineering and medicine.
1. Access the Scopus database.
2. Write the title of the article to the search box and select Article title from the drop down menu.
3. After clicking Search, you will see the article information, if the article is included in the database. If you don't get any results, try to search again without special characters such as semicolon.
4. On the right side of the result list you can see the number of citations (Cited by).
1. Retrieve the article as instructed above.
2. Click the number of Citations on the right.
3. Now you see all the articles that are citing the article of your interest.
4. Go to the left side bar and select Author name and then View all.
4. Select the authors of the article of your interest and click Exclude.
5. Now you can see the number of citations without self-citations.
If you want to search citation counts for all your articles, check the instructions How to find h-index in Scopus.
Google Scholar is a search engine for academic publications and it is open for all. There is no information about which sources it covers. The search results of Google Scholar also include theses, presentations, reports, pre-prints etc. so the citation count is usually much higher than in Web of Science or Scopus.
The quality of the data is not flawless. For example, in Google Scholar there are many duplicate records and there can be extra citations as well.
1. Search the article of your interest with article title.
2. You can see the citation count from Cited by, below the article information .
Removing self-citations in Google Scholar/Publish or Perish is practically impossible because you have to go through all the citing articles one by one as you can't see all the authors in the result list.
