Euclid's algorithm is a method for computing the greatest common divisor (GCD) of two numbers. Here's how it works:

1. We start with the two numbers, 19 and 15. We divide the larger number by the smaller number and find the remainder. 19 divided by 15 is 1 with a remainder of 4.

2. We then replace the larger number with the smaller number and the smaller number with the remainder from the previous step. So now we're looking at 15 and 4. We repeat the process: 15 divided by 4 is 3 with a remainder of 3.

3. We replace again, so now we're looking at 4 and 3. 4 divided by 3 is 1 with a remainder of 1.

4. We replace one more time, so now we're looking at 3 and 1. 3 divided by 1 is 3 with a remainder of 0.

So, it takes 4 steps of Euclid's algorithm to calculate gcd(19,15).

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Euclid's algorithm is a method for computing the greatest common divisor (GCD) of two numbers. Here's how it works:

1. We start with the two numbers, 19 and 15. We divide the larger number by the smaller number and find the remainder. 19 divided by 15 is 1 with a remainder of 4.

2. We then replace the larger number with the smaller number and the smaller number with the remainder from the previous step. So now we're looking at 15 and 4. We repeat the process: 15 divided by 4 is 3 with a remainder of 3.

3. We replace again, so now we're looking at 4 and 3. 4 divided by 3 is 1 with a remainder of 1.

4. We replace one more time, so now we're looking at 3 and 1. 3 divided by 1 is 3 with a remainder of 0.

So, it takes 4 steps of Euclid's algorithm to calculate gcd(19,15).

Knowee AI · Accepted Answer

Euclid's algorithm is a method for computing the greatest common divisor (GCD) of two numbers. Here's how it works:

1. We start with the two numbers, 19 and 15. We divide the larger number by the smaller number and find the remainder. 19 divided by 15 is 1 with a remainder of 4.

2. We then replace the larger number with the smaller number and the smaller number with the remainder from the previous step. So now we're looking at 15 and 4. We repeat the process: 15 divided by 4 is 3 with a remainder of 3.

3. We replace again, so now we're looking at 4 and 3. 4 divided by 3 is 1 with a remainder of 1.

4. We replace one more time, so now we're looking at 3 and 1. 3 divided by 1 is 3 with a remainder of 0.

So, it takes 4 steps of Euclid's algorithm to calculate gcd(19,15).

How many steps of Euclid's algorithm does it take to calculate gcd(19,15), assuming the algorithm terminates the first time a remainder is zero? Group of answer choices 3 5 4 2

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