The pdfcrop utility is made to crop the white borders from a PDF.
pdfcrop in.pdf out.pdf
If you want to remove a little MORE so that the crop marks are also removed, then use the --margins option. Providing a negative margin value will cause a crop of some of your content. The margin value unit is bp. Play with the negative value to remove your tick marks and nothing else.
pdfcrop --margins -10 in.pdf out.pdf
Edit Using OP's sample PDF follows...
Your sample PDF file works for me. I used the following command.
pdfcrop --margins -10 --verbose matC.pdf matC_cropped.pdf
This is your original file

And this is the cropped file

The pdfcrop verbose log follows
PDFCROP 1.38, 2012/11/02 - Copyright (c) 2002-2012 by Heiko Oberdiek.
* PDF header: %PDF-1.5
* Running ghostscript for BoundingBox calculation ...
GPL Ghostscript 9.04 (2011-08-05)
Copyright (C) 2011 Artifex Software, Inc. All rights reserved.
This software comes with NO WARRANTY: see the file PUBLIC for details.
Processing pages 1 through 1.
Page 1
%%BoundingBox: 3 3 205 205
* Page 1: 3 3 205 205
%%HiResBoundingBox: 3.667289 3.061336 204.622728 204.016705
* Running pdfTeX ...
This is pdfTeX, Version 3.14159265-2.6-1.40.16 (MiKTeX 2.9 64-bit)
entering extended mode
(tmp-pdfcrop-3248.tex [1 <./matC.pdf>] )
Output written on tmp-pdfcrop-3248.pdf (1 page, 24335 bytes).
Transcript written on tmp-pdfcrop-3248.log.
==> 1 page written on `matC_cropped.pdf'.
As you see, pdfcrop used ghostscript. Perhaps your ghostscript has an issue.
\includepdfwith thetrimoption which should be passed to\includegraphics, but but it seems to me that the aspect ratio is fixed. I tried with the relative option, but it didn't work. I give you a link to a page of the document which is all white except for crop marks. Can you tell me the option (possibly the most appropriate ones) I should use? – Enlico Jan 12 '16 at 15:36pdfpagesall kinds of links will get lost. Have a look at jPDF Tweak (written in Java), by Michael Schierl. – Javier Bezos Jan 15 '16 at 15:18