GCD of 829, 564, 574, 502 Calculator

Given Input numbers are 829, 564, 574, 502

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

Divisors of 829

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

1, 829

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 829, 564, 574, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 564, 574, 502 is 1.

Therefore, GCD of numbers 829, 564, 574, 502 is 1

Given Input Data is 829, 564, 574, 502

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

Prime Factorization of 829 is 829

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 502 is 2 x 251

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(829, 564) = 467556

GCD(829, 564) = ( 829 x 564 ) / 467556

GCD(829, 564) = 467556 / 467556

GCD(829, 564) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 829, 564, 574, 502 is 1

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1. What is the GCD of 829, 564, 574, 502?

GCD of 829, 564, 574, 502 is 1

2. Where do I get the detailed procedure to find GCD of 829, 564, 574, 502?

You can find a detailed procedure to find GCD of 829, 564, 574, 502 on our page.

3. How to find GCD of 829, 564, 574, 502 on a calculator?

You can find the GCD of 829, 564, 574, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.