1. Euclid's method for finding the gcd of two positive integers consists of the following steps: a. Divide the larger number by the smaller and retain the remainder. b. Divide the smaller number by the remainder, again retaining the remainder. c. Continue dividing the price remainder by the last nonzero remainder is the gcd for example: assume the two positive integers are 84 and 49, we have: Step a: 84/49 yields a remainder of 35. Step b: 49/35 yields a remainder of 14. step c: 35/14 yields a remainder of 7. Step d: 14/7 yields a remainder of 0. Thus the last nonzero remainder, which is 7, is the greatest common divisor of 84 and 49. Using Euclid's algorithm, write an actual function that determines and returns the GCD of its two integer parameters.
1. Euclid's method for finding the gcd of two positive integers consists of the following steps: a. Divide the larger number by the smaller and retain the remainder. b. Divide the smaller number by the remainder, again retaining the remainder. c. Continue dividing the price remainder by the last nonzero remainder is the gcd for example: assume the two positive integers are 84 and 49, we have: Step a: 84/49 yields a remainder of 35. Step b: 49/35 yields a remainder of 14. step c: 35/14 yields a remainder of 7. Step d: 14/7 yields a remainder of 0. Thus the last nonzero remainder, which is 7, is the greatest common divisor of 84 and 49. Using Euclid's algorithm, write an actual function that determines and returns the GCD of its two integer parameters.
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![1. Euclid's method for finding the gcd of two positive integers consists
of the following steps:
a. Divide the larger number by the smaller and retain the remainder.
b. Divide the smaller number by the remainder, again retaining the
remainder.
c. Continue dividing the price remainder by the last nonzero
remainder is the gcd
for example: assume the two positive integers are 84 and 49, we have:
step a: 84/49 yields a remainder of 35.
step b: 49/35 yields a remainder of 14.
Step c: 35/14 yields a remainder of 7.
step d: 14/7 yields a remainder of 0.
Thus the last nonzero remainder, which is 7, is the greatest common
divisor of 84 and 49.
Using Euclid's algorithm, write an actual function that determines
and returns the GCD of its two integer parameters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7542f54-160e-47cd-bdc8-54210fe4ffa9%2F53395858-0223-4ed9-b5c7-df6eded2a48c%2Fniavhq9_processed.png&w=3840&q=75)
Transcribed Image Text:1. Euclid's method for finding the gcd of two positive integers consists
of the following steps:
a. Divide the larger number by the smaller and retain the remainder.
b. Divide the smaller number by the remainder, again retaining the
remainder.
c. Continue dividing the price remainder by the last nonzero
remainder is the gcd
for example: assume the two positive integers are 84 and 49, we have:
step a: 84/49 yields a remainder of 35.
step b: 49/35 yields a remainder of 14.
Step c: 35/14 yields a remainder of 7.
step d: 14/7 yields a remainder of 0.
Thus the last nonzero remainder, which is 7, is the greatest common
divisor of 84 and 49.
Using Euclid's algorithm, write an actual function that determines
and returns the GCD of its two integer parameters.
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