GCD of 557, 228, 932, 378 Calculator

Given Input numbers are 557, 228, 932, 378

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 557, 228, 932, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 228, 932, 378 is 1.

Therefore, GCD of numbers 557, 228, 932, 378 is 1

Given Input Data is 557, 228, 932, 378

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

Prime Factorization of 557 is 557

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 378 is 2 x 3 x 3 x 3 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, 228) = 126996

GCD(557, 228) = ( 557 x 228 ) / 126996

GCD(557, 228) = 126996 / 126996

GCD(557, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 932

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

LCM(1, 932) = 932

GCD(1, 932) = ( 1 x 932 ) / 932

GCD(1, 932) = 932 / 932

GCD(1, 932) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 557, 228, 932, 378 is 1

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1. What is the GCD of 557, 228, 932, 378?

GCD of 557, 228, 932, 378 is 1

2. Where do I get the detailed procedure to find GCD of 557, 228, 932, 378?

You can find a detailed procedure to find GCD of 557, 228, 932, 378 on our page.

3. How to find GCD of 557, 228, 932, 378 on a calculator?

You can find the GCD of 557, 228, 932, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.