Find the greatest number that will divide 48, 97 and 188 and leaves the reminder 6 in each case.Options :A.4
Question
Find the greatest number that will divide 48, 97 and 188 and leaves the reminder 6 in each case.
Options :
A. 4
Solution
The greatest number that will divide 48, 97, and 188 and leaves the remainder 6 in each case is found by first subtracting the remainder from each number. This gives us 42 (48-6), 91 (97-6), and 182 (188-6).
The next step is to find the greatest common divisor (GCD) of these three numbers. The GCD of 42, 91, and 182 is 7.
So, the greatest number that will divide 48, 97, and 188 and leaves the remainder 6 in each case is 7.
Therefore, none of the options provided (A.4) is correct.
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