GCD of 474, 829, 184, 920 Calculator

Given Input numbers are 474, 829, 184, 920

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 474, 829, 184, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 829, 184, 920 is 1.

Therefore, GCD of numbers 474, 829, 184, 920 is 1

Given Input Data is 474, 829, 184, 920

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 829 is 829

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(474, 829) = 392946

GCD(474, 829) = ( 474 x 829 ) / 392946

GCD(474, 829) = 392946 / 392946

GCD(474, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 474, 829, 184, 920 is 1

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1. What is the GCD of 474, 829, 184, 920?

GCD of 474, 829, 184, 920 is 1

2. Where do I get the detailed procedure to find GCD of 474, 829, 184, 920?

You can find a detailed procedure to find GCD of 474, 829, 184, 920 on our page.

3. How to find GCD of 474, 829, 184, 920 on a calculator?

You can find the GCD of 474, 829, 184, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.