GCD of 569, 680, 31, 102 Calculator

Given Input numbers are 569, 680, 31, 102

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

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 569, 680, 31, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 680, 31, 102 is 1.

Therefore, GCD of numbers 569, 680, 31, 102 is 1

Given Input Data is 569, 680, 31, 102

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

Prime Factorization of 569 is 569

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 31 is 31

Prime Factorization of 102 is 2 x 3 x 17

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(569, 680) = 386920

GCD(569, 680) = ( 569 x 680 ) / 386920

GCD(569, 680) = 386920 / 386920

GCD(569, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 569, 680, 31, 102 is 1

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• GCD of 563, 327, 83, 691
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1. What is the GCD of 569, 680, 31, 102?

GCD of 569, 680, 31, 102 is 1

2. Where do I get the detailed procedure to find GCD of 569, 680, 31, 102?

You can find a detailed procedure to find GCD of 569, 680, 31, 102 on our page.

3. How to find GCD of 569, 680, 31, 102 on a calculator?

You can find the GCD of 569, 680, 31, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.