GCD of 920, 655, 502, 823 Calculator

Given Input numbers are 920, 655, 502, 823

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 502

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

1, 2, 251, 502

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 920, 655, 502, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 655, 502, 823 is 1.

Therefore, GCD of numbers 920, 655, 502, 823 is 1

Given Input Data is 920, 655, 502, 823

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 655 is 5 x 131

Prime Factorization of 502 is 2 x 251

Prime Factorization of 823 is 823

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(920, 655) = 120520

GCD(920, 655) = ( 920 x 655 ) / 120520

GCD(920, 655) = 602600 / 120520

GCD(920, 655) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 502

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

LCM(5, 502) = 2510

GCD(5, 502) = ( 5 x 502 ) / 2510

GCD(5, 502) = 2510 / 2510

GCD(5, 502) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 920, 655, 502, 823 is 1

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1. What is the GCD of 920, 655, 502, 823?

GCD of 920, 655, 502, 823 is 1

2. Where do I get the detailed procedure to find GCD of 920, 655, 502, 823?

You can find a detailed procedure to find GCD of 920, 655, 502, 823 on our page.

3. How to find GCD of 920, 655, 502, 823 on a calculator?

You can find the GCD of 920, 655, 502, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.