GCD of 314, 690, 507, 571 Calculator

Given Input numbers are 314, 690, 507, 571

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 314, 690, 507, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 690, 507, 571 is 1.

Therefore, GCD of numbers 314, 690, 507, 571 is 1

Given Input Data is 314, 690, 507, 571

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 571 is 571

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(314, 690) = 108330

GCD(314, 690) = ( 314 x 690 ) / 108330

GCD(314, 690) = 216660 / 108330

GCD(314, 690) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 571

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

LCM(1, 571) = 571

GCD(1, 571) = ( 1 x 571 ) / 571

GCD(1, 571) = 571 / 571

GCD(1, 571) = 1

GCD of 314, 690, 507, 571 is 1

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1. What is the GCD of 314, 690, 507, 571?

GCD of 314, 690, 507, 571 is 1

2. Where do I get the detailed procedure to find GCD of 314, 690, 507, 571?

You can find a detailed procedure to find GCD of 314, 690, 507, 571 on our page.

3. How to find GCD of 314, 690, 507, 571 on a calculator?

You can find the GCD of 314, 690, 507, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.