It’s something I’ve noticed quite often. A quick(and admittedly unscientific) test using the board’s search function throws up 571 results for Ghandi as opposed to 750 for Gandhi. Is there any particular reason for the popularity of the error? Is it prevalent in media? Did a textbook perhaps spell it that-a-way? Does the name sound more like ‘Gh’?
(As I type this post, it turns out that the text editor’s spell check recognises Gandhi as a word, and underlines Ghandi 
)
The digraph “gh” is common in English, and often sounds like a hard “g” when at the beginning of a word (as in ghost or ghastly or ghetto). “Dh” does not occur with any particular frequency in English. So it’s a pretty easy mistake for an English-speaker to make: they know there’s an ‘h’ in there, the name starts with a ‘g’ sound, ergo, Ghandi.
Using the Google Fight website, I found 1.3 million spellings as “Ghandi” versus 9.7 million as “Gandhi.” I suspect the correct spellings are so high only because of so many news articles and scholarly works, and that is merely a common misspelling due to how few English-language words have that consonant combo.
Gandhi would be my spell-corrected version.
I’m a good speller (one of the components of which is knowing when you need to check the spelling of a word IMO), and for some reason I sometimes just can’t remember where that silent h is supposed to go. Like in the word baht, for example.
I also see Buddha without the h a lot (Google puts it at 7 million hits for budda and 105 million for buddha), if that means anything to your question.
Well I suppose part of the problem is that his name is originally in a different language. So many English speakers will not be aware that the ‘h’ actually changes the pronunciation, and is thus not really silent. I’m trying and failing to come up with a word that uses the ‘dh’ sound in English.
Friedo also has a point about the ‘gh’ sound not being much different from ‘g’ and appearing in other words.
It’s “Gandhi” NOT “Ghandi”, you cow-felching fools!
Why do Americans spell “Ghandi” ?
It’s “Gandhi,” not “Ghandi.”
It’s Gandhi, Gandhi, Gandhi, Gandhi, GANDHI!!!
My daughter had it on a spelling test back in 5th grade, misspelled by the teacher.
We also need to investigate “Isreal” and “where” for “were”, and no doubt a bunch of others.
Ghandi? Didn’t he use to record on Buddah records? 
It’s one of the typos I periodically sweep for on Wikipedia. Unfortunately it requires more scrutiny than most, since there are some legitimate uses of the Gh spelling.
Perhaps the difference in the actual pronunciation of “Gandhi”.
In American English it is more like G-handy (with a sort of breathy Gh), or as something akin to “gwandy” as opposed to the Indian pronunciation which is more like Gan-dee, (very short ‘a’ - as in apple and without the ‘h’ sound).
I hate to admit this in GQ, as it is anecdotal, but this is my personal experience having lived and worked in Gandhinagar* for years.
*pronounced gan dee nay gar
Show some respect to the venerable great soul, folks! It’s Gandhiji 
Look, my phontic spellings in my last post really suck. I do not think I helped anyone with my explanations, especially as I could not edit after such a short time.
Maybe suffice to say - in my experience, western speakers tend to try to annunciate the “h” sound and sometimes misplace it. In India, the name is rather simply pronounced in his home town and ashram (in Ahmedebad) as Gandee.
As I said, my experience. Linguists, have at me.
And in the ashram that would be “gan dee gee”
Apropos of nothing - I have sat on his stool and made believe I worked his spinning wheel. Was a special moment.
Don’t think gandhi really cares how you write his name. He would much rather inspire you with his thoughts and ideas then have you spell his name correctly.
I think he’d much rather get laid.
I usually spell in Ghandi because that’s how I was taught to spell it when I was a child. Simple as that.
Gandhi is correct. Ghandi OTH is far too close too Ghandu.
Mushroom, mushroom.