Would my grades be good enough for Cambridge University?

They usually guarantee interviews with people with 6A*s+, your GCSEs are in that region so you shouldn't have to worry. They really won't care past that, it's really your AS results (and specifically marks) that they care about.

They usually guarantee interviews with people with 6A*s+, your GCSEs are in that region so you shouldn't have to worry.

No they don't.

Please don't make up "advise", it's not helpful.

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They NEVER guarantee interview for anyone on basis of GCSE.
GCSE is not as important as A- levels but they do look at it as contextual data.

I didn't make up advice, please don't make unhelpful claims.

I'm certain that's what they said at one of their open says (for CS), and what my teacher who was a graduate and organised my school's oxbridge applications said. They certainly focus on AS levels much, which is why on their SAQ form they ask for every UMS score and class size for your AS, and at my Cambridge interview they also brought up my AS levels, but I can't seem to recall any mention of my GCSEs along the process

That's why there's the usually, I suppose it's a weird wording, but I'm sure that's what was said by a tutor at one of the open days. In my year, out of the 20 or so people I knew that applied, the only person who was rejected without an interview only managed a few A*s at GCSE.

That's why there's the usually, I suppose it's a weird wording, but I'm sure that's what was said by a tutor at one of the open days. In my year, out of the 20 or so people I knew that applied, the only person who was rejected without an interview only managed a few A*s at GCSE.

You should replace 'usually' with 'never.'

I got 5As, 3Bs and 3Cs at GCSE. If I try harder at my A levels any chance I can get into Oxbridge? Also have you ever heard of anyone who couldn't get an A* at GCSE but got it at A level?

How does you GCSE result compare to rest of the school?
Cambridge uses GCSE results as contextual data. So if your grades are much better than average performance of your school and/or you had very serious extenuating circumstance that prevent you from performing as good as you could have and you showed huge improvement at A-levels, you may still have a chance.

In comparison to my school they are way above average. Even the smartest people in my year got only a few A*s along with multiple Bs and Cs but when I hear people from elsewhere have got all As and A*s it doesn't seem like it was anywhere near good enough

What Cambridge definitely does not like is an applicant who underperformed in a good-performing school. But in your case it's completely opposite, so it will work in your favour.
However, it'll be a serious hard work for someone with no A* at GCSE to get the grades Cambridge require and many applicants have grades that exceed their entry requirement. So just achieving the requirement will not guarantee an offer.
Other parts of applications, like personal statement, reference, super-curricular (extra-curricular related to the subject you're applying to) etc. just as important, and how you perform at interview/test are very important, too.
They look at all these elements individually.

What course are you thinking of applying and what subjects are you doing in A-levels?

Maths, physics, chemistry and economics. Initially I wanted to study mechanical engineering at uni but after asking around I was told engineering jobs are always outside of the city and living outside of London is just something I can't do so I'm probably going to go for economics or architecture and I haven't picked art for A level so that's quite unlikely