GCD of 507, 676, 554, 514 Calculator

Given Input numbers are 507, 676, 554, 514

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

Divisors of 507

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

1, 3, 13, 39, 169, 507

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 507, 676, 554, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 676, 554, 514 is 1.

Therefore, GCD of numbers 507, 676, 554, 514 is 1

Given Input Data is 507, 676, 554, 514

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 554 is 2 x 277

Prime Factorization of 514 is 2 x 257

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(507, 676) = 2028

GCD(507, 676) = ( 507 x 676 ) / 2028

GCD(507, 676) = 342732 / 2028

GCD(507, 676) = 169

Step2:

Here we consider the GCD from the above i.e. 169 as first number and the next as 554

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

LCM(169, 554) = 93626

GCD(169, 554) = ( 169 x 554 ) / 93626

GCD(169, 554) = 93626 / 93626

GCD(169, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 507, 676, 554, 514 is 1

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• GCD of 405, 574, 800, 732
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1. What is the GCD of 507, 676, 554, 514?

GCD of 507, 676, 554, 514 is 1

2. Where do I get the detailed procedure to find GCD of 507, 676, 554, 514?

You can find a detailed procedure to find GCD of 507, 676, 554, 514 on our page.

3. How to find GCD of 507, 676, 554, 514 on a calculator?

You can find the GCD of 507, 676, 554, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.