GCD of 428, 572, 311, 280 Calculator

Given Input numbers are 428, 572, 311, 280

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 428, 572, 311, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 572, 311, 280 is 1.

Therefore, GCD of numbers 428, 572, 311, 280 is 1

Given Input Data is 428, 572, 311, 280

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 311 is 311

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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(428, 572) = 61204

GCD(428, 572) = ( 428 x 572 ) / 61204

GCD(428, 572) = 244816 / 61204

GCD(428, 572) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 311

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

LCM(4, 311) = 1244

GCD(4, 311) = ( 4 x 311 ) / 1244

GCD(4, 311) = 1244 / 1244

GCD(4, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 428, 572, 311, 280 is 1

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1. What is the GCD of 428, 572, 311, 280?

GCD of 428, 572, 311, 280 is 1

2. Where do I get the detailed procedure to find GCD of 428, 572, 311, 280?

You can find a detailed procedure to find GCD of 428, 572, 311, 280 on our page.

3. How to find GCD of 428, 572, 311, 280 on a calculator?

You can find the GCD of 428, 572, 311, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.