GCD of 516, 724, 254, 787 Calculator

Given Input numbers are 516, 724, 254, 787

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 516, 724, 254, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 724, 254, 787 is 1.

Therefore, GCD of numbers 516, 724, 254, 787 is 1

Given Input Data is 516, 724, 254, 787

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 254 is 2 x 127

Prime Factorization of 787 is 787

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(516, 724) = 93396

GCD(516, 724) = ( 516 x 724 ) / 93396

GCD(516, 724) = 373584 / 93396

GCD(516, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 254

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

LCM(4, 254) = 508

GCD(4, 254) = ( 4 x 254 ) / 508

GCD(4, 254) = 1016 / 508

GCD(4, 254) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 787

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

LCM(2, 787) = 1574

GCD(2, 787) = ( 2 x 787 ) / 1574

GCD(2, 787) = 1574 / 1574

GCD(2, 787) = 1

GCD of 516, 724, 254, 787 is 1

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1. What is the GCD of 516, 724, 254, 787?

GCD of 516, 724, 254, 787 is 1

2. Where do I get the detailed procedure to find GCD of 516, 724, 254, 787?

You can find a detailed procedure to find GCD of 516, 724, 254, 787 on our page.

3. How to find GCD of 516, 724, 254, 787 on a calculator?

You can find the GCD of 516, 724, 254, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.