What is the largest number that will divide 6133 and 75 leaving 5 as remainder in each case?

What is the largest number that will divide 6133 and 75 leaving 5 as remainder in each case?

Dear Student ,
 

Please find below the solution to the asked query :

61 , 33 , 75As remainder is 5 .So ,61-5 , 33-5 , 75-556 , 28 , 7056=2×2×2×728=2×2×770=2×5×7HCF56 , 28 , 70=2×17=14Hence ,14 is the largest number that will divide 61 , 33 and 75 leaving 5 as remainder ,

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What is the largest number that will divide 6133 and 75 leaving 5 as remainder in each case?