GCD of 674, 494, 589, 251 Calculator

Given Input numbers are 674, 494, 589, 251

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 674, 494, 589, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 494, 589, 251 is 1.

Therefore, GCD of numbers 674, 494, 589, 251 is 1

Given Input Data is 674, 494, 589, 251

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 589 is 19 x 31

Prime Factorization of 251 is 251

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(674, 494) = 166478

GCD(674, 494) = ( 674 x 494 ) / 166478

GCD(674, 494) = 332956 / 166478

GCD(674, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 674, 494, 589, 251 is 1

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1. What is the GCD of 674, 494, 589, 251?

GCD of 674, 494, 589, 251 is 1

2. Where do I get the detailed procedure to find GCD of 674, 494, 589, 251?

You can find a detailed procedure to find GCD of 674, 494, 589, 251 on our page.

3. How to find GCD of 674, 494, 589, 251 on a calculator?

You can find the GCD of 674, 494, 589, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.