GCD of 502, 489, 836, 974 Calculator

Given Input numbers are 502, 489, 836, 974

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 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 502, 489, 836, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 489, 836, 974 is 1.

Therefore, GCD of numbers 502, 489, 836, 974 is 1

Given Input Data is 502, 489, 836, 974

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 489 is 3 x 163

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 974 is 2 x 487

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, 489) = 245478

GCD(502, 489) = ( 502 x 489 ) / 245478

GCD(502, 489) = 245478 / 245478

GCD(502, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 502, 489, 836, 974 is 1

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1. What is the GCD of 502, 489, 836, 974?

GCD of 502, 489, 836, 974 is 1

2. Where do I get the detailed procedure to find GCD of 502, 489, 836, 974?

You can find a detailed procedure to find GCD of 502, 489, 836, 974 on our page.

3. How to find GCD of 502, 489, 836, 974 on a calculator?

You can find the GCD of 502, 489, 836, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.