GCD of 598, 621, 497, 902 Calculator

Given Input numbers are 598, 621, 497, 902

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 598, 621, 497, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 621, 497, 902 is 1.

Therefore, GCD of numbers 598, 621, 497, 902 is 1

Given Input Data is 598, 621, 497, 902

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 497 is 7 x 71

Prime Factorization of 902 is 2 x 11 x 41

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(598, 621) = 16146

GCD(598, 621) = ( 598 x 621 ) / 16146

GCD(598, 621) = 371358 / 16146

GCD(598, 621) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 497

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

LCM(23, 497) = 11431

GCD(23, 497) = ( 23 x 497 ) / 11431

GCD(23, 497) = 11431 / 11431

GCD(23, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 598, 621, 497, 902 is 1

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1. What is the GCD of 598, 621, 497, 902?

GCD of 598, 621, 497, 902 is 1

2. Where do I get the detailed procedure to find GCD of 598, 621, 497, 902?

You can find a detailed procedure to find GCD of 598, 621, 497, 902 on our page.

3. How to find GCD of 598, 621, 497, 902 on a calculator?

You can find the GCD of 598, 621, 497, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.