The Gutmann method is in fact the most secure, and IIRC was developed based on principals of electo-magnetics in his academic paper 'Secure Deletion from Magnetic and Solid State Media', so its a theoretically secure solution. per a cryptographic definition of "perfect secrecy" he is correct, because when you overwrite a disk, it is possible to make assumptions about the files that were on it, and it can be proven that a given known file has been present on a disk, even if you can't read it now, per his findings. his algorithm is designed to defeat that potential.
In the Practical realm, it is almost impossible to recover data that has been overwritten once unless the attacker knows something about the data they are attempting to recover. This has been proven a number of times. Note that this has nothing to do with the moderness of the disk.
https://raufakram.wordpress.com/2013/05/23/why-you-only-have-to-wipe-a-disk-once-to-erase-it/
ultimately , if you are facing an adversary with unlimited capability (FBI) use Guttman. if you are worried about wiping a PC before you put it up for sale, single pass is fine.
http://blogs.computerworld.com/node/5687
Also individual file shredding is not the same as disk erasing or even free space erasing (i.e., has different issues such as file names in directory, tips, ...). The question needs to be refined and then is probably answered several times over. Disk type and vintage (therefore technology)? File v. disk v. free space?
Security is not absolute but relative to the risk.
– BillR Nov 15 '13 at 22:38