GCD of 820, 574, 501, 122 Calculator

Given Input numbers are 820, 574, 501, 122

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 820, 574, 501, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 574, 501, 122 is 1.

Therefore, GCD of numbers 820, 574, 501, 122 is 1

Given Input Data is 820, 574, 501, 122

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 501 is 3 x 167

Prime Factorization of 122 is 2 x 61

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(820, 574) = 5740

GCD(820, 574) = ( 820 x 574 ) / 5740

GCD(820, 574) = 470680 / 5740

GCD(820, 574) = 82

Step2:

Here we consider the GCD from the above i.e. 82 as first number and the next as 501

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

LCM(82, 501) = 41082

GCD(82, 501) = ( 82 x 501 ) / 41082

GCD(82, 501) = 41082 / 41082

GCD(82, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 820, 574, 501, 122 is 1

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1. What is the GCD of 820, 574, 501, 122?

GCD of 820, 574, 501, 122 is 1

2. Where do I get the detailed procedure to find GCD of 820, 574, 501, 122?

You can find a detailed procedure to find GCD of 820, 574, 501, 122 on our page.

3. How to find GCD of 820, 574, 501, 122 on a calculator?

You can find the GCD of 820, 574, 501, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.