GCD of 502, 972, 423, 577 Calculator

Given Input numbers are 502, 972, 423, 577

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

Divisors of 502

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

1, 2, 251, 502

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 502, 972, 423, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 972, 423, 577 is 1.

Therefore, GCD of numbers 502, 972, 423, 577 is 1

Given Input Data is 502, 972, 423, 577

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 577 is 577

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(502, 972) = 243972

GCD(502, 972) = ( 502 x 972 ) / 243972

GCD(502, 972) = 487944 / 243972

GCD(502, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 502, 972, 423, 577 is 1

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• GCD of 283, 202, 980, 970
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• GCD of 582, 954, 836, 428

1. What is the GCD of 502, 972, 423, 577?

GCD of 502, 972, 423, 577 is 1

2. Where do I get the detailed procedure to find GCD of 502, 972, 423, 577?

You can find a detailed procedure to find GCD of 502, 972, 423, 577 on our page.

3. How to find GCD of 502, 972, 423, 577 on a calculator?

You can find the GCD of 502, 972, 423, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.