GCD of 892, 909, 576, 331 Calculator

Given Input numbers are 892, 909, 576, 331

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 892, 909, 576, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 909, 576, 331 is 1.

Therefore, GCD of numbers 892, 909, 576, 331 is 1

Given Input Data is 892, 909, 576, 331

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 331 is 331

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(892, 909) = 810828

GCD(892, 909) = ( 892 x 909 ) / 810828

GCD(892, 909) = 810828 / 810828

GCD(892, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 892, 909, 576, 331 is 1

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1. What is the GCD of 892, 909, 576, 331?

GCD of 892, 909, 576, 331 is 1

2. Where do I get the detailed procedure to find GCD of 892, 909, 576, 331?

You can find a detailed procedure to find GCD of 892, 909, 576, 331 on our page.

3. How to find GCD of 892, 909, 576, 331 on a calculator?

You can find the GCD of 892, 909, 576, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.