GCD of 468, 980, 531, 829 Calculator

Given Input numbers are 468, 980, 531, 829

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 829

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

1, 829

Greatest Common Divisior

We found the divisors of 468, 980, 531, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 980, 531, 829 is 1.

Therefore, GCD of numbers 468, 980, 531, 829 is 1

Given Input Data is 468, 980, 531, 829

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 829 is 829

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(468, 980) = 114660

GCD(468, 980) = ( 468 x 980 ) / 114660

GCD(468, 980) = 458640 / 114660

GCD(468, 980) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 531

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

LCM(4, 531) = 2124

GCD(4, 531) = ( 4 x 531 ) / 2124

GCD(4, 531) = 2124 / 2124

GCD(4, 531) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 468, 980, 531, 829 is 1

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1. What is the GCD of 468, 980, 531, 829?

GCD of 468, 980, 531, 829 is 1

2. Where do I get the detailed procedure to find GCD of 468, 980, 531, 829?

You can find a detailed procedure to find GCD of 468, 980, 531, 829 on our page.

3. How to find GCD of 468, 980, 531, 829 on a calculator?

You can find the GCD of 468, 980, 531, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.