Well, the Hijri date 6 Shawwal 1361 corresponds to the Gregorian date Friday, 16 October 1942. This date lies in the tenth month of the Hijri year 1361 AH, which is Shawwal of 1361 AH. Both this Hijri and Gregorian date occur on the single day that is Friday without any doubt. The Arabic date 1361/10/06 is calculated using the Umm Al-Qura calendar and the sighting of the moon. One thing to remember is that this Arabic date may occur on different Gregorian date depending upon the region and country and obviously the moon.
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The following is the conversion of the Gregorian date 16 October 1942 to its equivalent Arabic date.
The following is the conversion of the Arabic date 6 Shawwal 1361 AH to its equivalent Gregorian date.
وَإِذْ صَرَفْنَآ إِلَيْكَ نَفَرًۭا مِّنَ ٱلْجِنِّ يَسْتَمِعُونَ ٱلْقُرْءَانَ فَلَمَّا حَضَرُوهُ قَالُوٓا۟ أَنصِتُوا۟ ۖ فَلَمَّا قُضِىَ وَلَّوْا۟ إِلَىٰ قَوْمِهِم مُّنذِرِينَ
And when We inclined toward thee (Muhammad) certain of the jinn, who wished to hear the Qur'an and, when they were in its presence, said: Give ear! and, when it was finished, turned back to their people, warning.
Surah Al-Ahqaf(46:29)
Sahih al-Bukhari
Military Expeditions led by the Prophet (pbuh) (Al-Maghaazi)
Chapter: Ghazwa Dhul-Khalasa
Narrated Qais:
Jarir said to me, The Prophet (ﷺ) said to me, "Won't you relieve me from Dhu-l-Khalasa?" And that was a house (in Yemem belonging to the tribe of) Khatham called Al-Ka`ba Al Yamaniya. I proceeded with one-hundred and-fifty cavalry from Ahmas (tribe) who were horse riders. I used not to sit firm on horses, so the Prophet (ﷺ) stroke me over my chest till I saw the mark of his fingers over my chest, and then he said, 'O Allah! Make him (i.e. Jarir) firm and one who guides others and is guided on the right path." So Jarir proceeded to it dismantled and burnt it, and then sent a messenger to Allah's Messenger (ﷺ). The messenger of Jarir said (to the Prophet), "By Him Who sent you with the Truth, I did not leave that place till it was like a scabby camel." The Prophet (ﷺ) blessed the horses of Ahmas and their men five times.
Sahih al-Bukhari 4356