GCD of 428, 412, 584, 261 Calculator

Given Input numbers are 428, 412, 584, 261

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 428, 412, 584, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 412, 584, 261 is 1.

Therefore, GCD of numbers 428, 412, 584, 261 is 1

Given Input Data is 428, 412, 584, 261

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 412 is 2 x 2 x 103

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 261 is 3 x 3 x 29

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, 412) = 44084

GCD(428, 412) = ( 428 x 412 ) / 44084

GCD(428, 412) = 176336 / 44084

GCD(428, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 584

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

LCM(4, 584) = 584

GCD(4, 584) = ( 4 x 584 ) / 584

GCD(4, 584) = 2336 / 584

GCD(4, 584) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 261

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

LCM(4, 261) = 1044

GCD(4, 261) = ( 4 x 261 ) / 1044

GCD(4, 261) = 1044 / 1044

GCD(4, 261) = 1

GCD of 428, 412, 584, 261 is 1

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1. What is the GCD of 428, 412, 584, 261?

GCD of 428, 412, 584, 261 is 1

2. Where do I get the detailed procedure to find GCD of 428, 412, 584, 261?

You can find a detailed procedure to find GCD of 428, 412, 584, 261 on our page.

3. How to find GCD of 428, 412, 584, 261 on a calculator?

You can find the GCD of 428, 412, 584, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.