GCD of 692, 996, 502, 473 Calculator

Given Input numbers are 692, 996, 502, 473

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 502

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

1, 2, 251, 502

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 692, 996, 502, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 996, 502, 473 is 1.

Therefore, GCD of numbers 692, 996, 502, 473 is 1

Given Input Data is 692, 996, 502, 473

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 502 is 2 x 251

Prime Factorization of 473 is 11 x 43

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(692, 996) = 172308

GCD(692, 996) = ( 692 x 996 ) / 172308

GCD(692, 996) = 689232 / 172308

GCD(692, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 502

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

LCM(4, 502) = 1004

GCD(4, 502) = ( 4 x 502 ) / 1004

GCD(4, 502) = 2008 / 1004

GCD(4, 502) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 473

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

LCM(2, 473) = 946

GCD(2, 473) = ( 2 x 473 ) / 946

GCD(2, 473) = 946 / 946

GCD(2, 473) = 1

GCD of 692, 996, 502, 473 is 1

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1. What is the GCD of 692, 996, 502, 473?

GCD of 692, 996, 502, 473 is 1

2. Where do I get the detailed procedure to find GCD of 692, 996, 502, 473?

You can find a detailed procedure to find GCD of 692, 996, 502, 473 on our page.

3. How to find GCD of 692, 996, 502, 473 on a calculator?

You can find the GCD of 692, 996, 502, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.