Find the greatest number which didvides 2706,7041,8250 leaving remainders 6,21 and 42.

Dear student
(i) If the number 2706 is divided by the specific number, it gives a remainder of 6.
 
That means 2706 - 6 = 2700, 2700 is accurately divisible by that number.
 
(ii) If the number 7041 is divided by the specific number, it gives a remainder of 21.
 
That means 7041 - 21 = 7020, 7020 is accurately divisible by that number.
 
(iii) If the number 8250 is divided by the specific number, it gives a remainder of 42.
 
That means 8250 - 42 = 8208, 8208 is accurately divisible by that number.
 
Then taking H.C.F for the three numbers,
 
 
 
 
 
 
 
The highest number that divides all the three numbers (2700, 7020, and 8208) is 108.

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