GCD of 882, 554, 931, 424 Calculator

Given Input numbers are 882, 554, 931, 424

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 554

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

1, 2, 277, 554

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 882, 554, 931, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 554, 931, 424 is 1.

Therefore, GCD of numbers 882, 554, 931, 424 is 1

Given Input Data is 882, 554, 931, 424

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 554 is 2 x 277

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(882, 554) = 244314

GCD(882, 554) = ( 882 x 554 ) / 244314

GCD(882, 554) = 488628 / 244314

GCD(882, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 931

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

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

GCD(2, 931) = 1862 / 1862

GCD(2, 931) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 882, 554, 931, 424 is 1

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1. What is the GCD of 882, 554, 931, 424?

GCD of 882, 554, 931, 424 is 1

2. Where do I get the detailed procedure to find GCD of 882, 554, 931, 424?

You can find a detailed procedure to find GCD of 882, 554, 931, 424 on our page.

3. How to find GCD of 882, 554, 931, 424 on a calculator?

You can find the GCD of 882, 554, 931, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.