Find the greatest number that will divide 48, 97 and 188 and leaves the reminder 6 in each case.Options :A.4B.7C.2D.6
Question
Find the greatest number that will divide 48, 97 and 188 and leaves the reminder 6 in each case.
Options :
A. 4
B. 7
C. 2
D. 6
Solution
The greatest number that will divide 48, 97, and 188 and leaves the remainder 6 in each case is found by subtracting 6 from each number and then finding the greatest common divisor (GCD) of the results.
Step 1: Subtract 6 from each number 48 - 6 = 42 97 - 6 = 91 188 - 6 = 182
Step 2: Find the GCD of 42, 91, and 182 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, the answer is B.7.
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