How do i contact computershare customer service? While 800-736-3001 is Computershare's best toll-free number, there are 4 total ways to get in touch with them. The next best way to talk to their customer support team, according to other Computershare customers, is by calling their 800-626-8729 phone number for their Customer Service department.What is computer care? Quick, efficient and effective IT support is delivered by Computer Care. You don’t necessarily need to know what’s gone wrong, you just need it fixing quickly and with little disruption to your business.Why choose computer care consultants ltd? I would highly recommend Computer Care Consultants Ltd as your go to IT company. They have the solutions to your needs and problems.Why choose computercare for hp computer repairs? ComputerCare has been doing all the warranty repairs on the HP computers for Ravenswood City School District for many years. We appreciate their prompt service so we can get our computers back into the hands of teachers and students as quickly as possible. ComputerCare was introduced to me in my previous company, IDEO.