GCD of 557, 485, 574, 420 Calculator

Given Input numbers are 557, 485, 574, 420

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 557, 485, 574, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 485, 574, 420 is 1.

Therefore, GCD of numbers 557, 485, 574, 420 is 1

Given Input Data is 557, 485, 574, 420

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

Prime Factorization of 557 is 557

Prime Factorization of 485 is 5 x 97

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 420 is 2 x 2 x 3 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(557, 485) = 270145

GCD(557, 485) = ( 557 x 485 ) / 270145

GCD(557, 485) = 270145 / 270145

GCD(557, 485) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 557, 485, 574, 420 is 1

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1. What is the GCD of 557, 485, 574, 420?

GCD of 557, 485, 574, 420 is 1

2. Where do I get the detailed procedure to find GCD of 557, 485, 574, 420?

You can find a detailed procedure to find GCD of 557, 485, 574, 420 on our page.

3. How to find GCD of 557, 485, 574, 420 on a calculator?

You can find the GCD of 557, 485, 574, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.