Bukhari

Hadith Commentary:
That is, do not join us in prayer, because their odor causes discomfort to the angels as well as to the worshippers.
However, if one thoroughly cleans oneself or eats something to remove the odor, then that is another matter.
Nowadays, the same ruling regarding cleaning the mouth applies to those who smoke bidis or cigarettes.

Hadith Commentary:
The purpose is that by eating these things raw, an odor develops in the mouth which is distressing for other companions; therefore, those who eat these things should, by whatever means possible, remove their odor before coming to the mosque.
The same ruling applies to beedi and cigarettes.
Explanation:
The purpose is that by eating these things raw, an odor develops in the mouth which is distressing for other companions; therefore, those who eat these things should, by whatever means possible, remove their odor before coming to the mosque.
The same ruling applies to beedi and cigarettes.

Hadith Commentary:
(1)
Some individuals have derived from this hadith the ruling that performing prayer in congregation is not obligatory, because those who have eaten raw garlic are prohibited from coming to the mosque, whereas the observance of congregational prayer takes place specifically in the mosque.
This inference is questionable, because the use of items that produce an unpleasant odor does not contradict the obligation of congregational prayer, just as when food is served, permission is given to leave the congregation.
In reality, Allah, the Exalted, has granted His servants ease, such that due to such permissible things, one may leave the congregation.
If someone uses such things as a pretext to abandon congregational prayer, then indeed, for him, using these things is unlawful (haram) and forbidden.
As Ibn Daqiq al-‘Id has expressed this position: that congregational prayer is obligatory, but in any case, it may be left due to an excuse.
(Fath al-Bari: 3/443)
(2)
Imam Ibn Khuzaymah, based on a hadith, has set a limit that whoever uses garlic or onion should not come near the mosque for three days, and he has established a specific heading for this. However, this deduction is not correct, because the number relates to the statement, not to proximity—that is, the Messenger of Allah (sallallahu alayhi wa sallam) said it three times.
This is also apparent from the outward meaning of the hadith, because the reason for the prohibition is the presence of unpleasantness, and that does not remain in the mouth for three days.
(Fath al-Bari: 3/444)