GCD of 502, 938, 963, 824 Calculator

Given Input numbers are 502, 938, 963, 824

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 502, 938, 963, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 938, 963, 824 is 1.

Therefore, GCD of numbers 502, 938, 963, 824 is 1

Given Input Data is 502, 938, 963, 824

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 824 is 2 x 2 x 2 x 103

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, 938) = 235438

GCD(502, 938) = ( 502 x 938 ) / 235438

GCD(502, 938) = 470876 / 235438

GCD(502, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 963

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

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

GCD(2, 963) = 1926 / 1926

GCD(2, 963) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 502, 938, 963, 824 is 1

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1. What is the GCD of 502, 938, 963, 824?

GCD of 502, 938, 963, 824 is 1

2. Where do I get the detailed procedure to find GCD of 502, 938, 963, 824?

You can find a detailed procedure to find GCD of 502, 938, 963, 824 on our page.

3. How to find GCD of 502, 938, 963, 824 on a calculator?

You can find the GCD of 502, 938, 963, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.