I have a good few Odroid U3  SBCs I'm currently evaluating.

During this process I have been taking current measurements from

my bench supply whilst getting the U3 to perform various painful tasks such as 1080p

video playback and CPUBURN on 1,2,3 & all for all  4x 1.7GHZ cores.

Less demanding but more realistic I went through some web browsing, word processing

and Graphics "editing" with GIMP


Approximate results.

Idle 0.2-0.3A

Booting 0.3-0.9peak

Normal tasks 0.4-0.5A

CPU BURN 4cores 1.4A

1080p Movie playback 0.8-1.0A