GCD of 917, 704, 520, 659 Calculator

Given Input numbers are 917, 704, 520, 659

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 917, 704, 520, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 704, 520, 659 is 1.

Therefore, GCD of numbers 917, 704, 520, 659 is 1

Given Input Data is 917, 704, 520, 659

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 917 is 7 x 131

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 659 is 659

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(917, 704) = 645568

GCD(917, 704) = ( 917 x 704 ) / 645568

GCD(917, 704) = 645568 / 645568

GCD(917, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 917, 704, 520, 659 is 1

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1. What is the GCD of 917, 704, 520, 659?

GCD of 917, 704, 520, 659 is 1

2. Where do I get the detailed procedure to find GCD of 917, 704, 520, 659?

You can find a detailed procedure to find GCD of 917, 704, 520, 659 on our page.

3. How to find GCD of 917, 704, 520, 659 on a calculator?

You can find the GCD of 917, 704, 520, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.