GCD of 380, 556, 554, 469 Calculator

Given Input numbers are 380, 556, 554, 469

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 554

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

1, 2, 277, 554

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 380, 556, 554, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 556, 554, 469 is 1.

Therefore, GCD of numbers 380, 556, 554, 469 is 1

Given Input Data is 380, 556, 554, 469

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 554 is 2 x 277

Prime Factorization of 469 is 7 x 67

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(380, 556) = 52820

GCD(380, 556) = ( 380 x 556 ) / 52820

GCD(380, 556) = 211280 / 52820

GCD(380, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 554

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

LCM(4, 554) = 1108

GCD(4, 554) = ( 4 x 554 ) / 1108

GCD(4, 554) = 2216 / 1108

GCD(4, 554) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 469

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

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

GCD(2, 469) = 938 / 938

GCD(2, 469) = 1

GCD of 380, 556, 554, 469 is 1

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• GCD of 811, 916, 885, 889
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1. What is the GCD of 380, 556, 554, 469?

GCD of 380, 556, 554, 469 is 1

2. Where do I get the detailed procedure to find GCD of 380, 556, 554, 469?

You can find a detailed procedure to find GCD of 380, 556, 554, 469 on our page.

3. How to find GCD of 380, 556, 554, 469 on a calculator?

You can find the GCD of 380, 556, 554, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.