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

(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.

Regards

Regards

**
**