In 26 and 27, use the extended Euclidean algorithm to find the greatest common divisor of the given numbers and express it as a linear combination of the two numbers.
4158 and 1568.
The greatest common divisor of and express it in a linear combination of two numbers.
The given numbers are .
Let be an integer and be a positive integer. Then, there are unique integers with such that , here, is the quotient and is the remainder.
So, and .
The greatest common divisor of two numbers is the integer which satisfies the following properties:
For all integers , when , then .
To find the greatest common divisor, use the Euclidean algorithm.
So, 14 is the remainder.
To write the gcd in a linear combination, use the step 6
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