Cross-compile GDB for ARM (ARMEL & ARMHF)

Let's say you have:
Machine A: x86, cross-compile for armhf
Machine B: armhf

On Machine A, you create a program. Then you copy the program to Machine B.
On Machine B, you execute the program and boom fatal error, a core is generated.

The question is: on which machine should I use GDB to read the core file?
Answer: Machine A! But you need to install GDB for ARMHF!

Here are the steps (on Machine A):

Download GDB

wget http://ftp.gnu.org/gnu/gdb/gdb-7.8.tar.gz

Extract

gunzip gdb-7.8.tar.gz

tar -xf gdb-7.8.tar

Go to the folder

cd gdb-7.8/

Build GDB 

#ARMHF

./configure --target=arm-linux-gnueabihf --prefix=/usr/arm-linux-gnueabihf CXX="arm-linux-gnueabi-g++"

#ARMEL

./configure --target=arm-linux-gnueabi --prefix=/usr/arm-linux-gnueabi CXX="arm-linux-gnueabi-g++"

make

make install

And that's it.
From Machine B, copy the core file in Machine A, and run this command:

/usr/arm-linux-gnueabihf/arm-linux-gnueabihf-gdb myProgram core

And that's it.

Note: I'm not sure if you really need to specify CXX when building GDB.