largest number which can divide 306, 340 and 187 exactly
Answers
Answer:
340 is the answer
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Answer:
Therefore, the largest number that can divide 306, 340, and 187 exactly is 1.
Step-by-step explanation:
To find the largest number that can divide 306, 340, and 187 exactly, we need to find the greatest common divisor (GCD) of these numbers.
One way to find the GCD is to use the Euclidean algorithm, which involves repeatedly dividing the larger number by the smaller number and taking the remainder as the new smaller number until we get a remainder of zero. The GCD is then the last non-zero remainder.
Using this method, we can start by finding the GCD of 306 and 340 as follows:
340 = 1 × 306 + 34
306 = 9 × 34 + 0
Since we have a remainder of 0, the GCD of 306 and 340 is 34.
Next, we can find the GCD of 34 and 187 as follows:
187 = 5 × 34 + 27
34 = 1 × 27 + 7
27 = 3 × 7 + 6
7 = 1 × 6 + 1
6 = 6 × 1 + 0
Since we have a remainder of 1, the GCD of 34 and 187 is 1.
Therefore, the largest number that can divide 306, 340, and 187 exactly is 1.
To know more about the greatest common divisor refer :
https://brainly.in/question/4154212
https://brainly.in/question/11325410
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