GCD of 634, 251, 74, 598 Calculator

Given Input numbers are 634, 251, 74, 598

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 251

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

1, 251

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 598

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

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

Greatest Common Divisior

We found the divisors of 634, 251, 74, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 251, 74, 598 is 1.

Therefore, GCD of numbers 634, 251, 74, 598 is 1

Given Input Data is 634, 251, 74, 598

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 251 is 251

Prime Factorization of 74 is 2 x 37

Prime Factorization of 598 is 2 x 13 x 23

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(634, 251) = 159134

GCD(634, 251) = ( 634 x 251 ) / 159134

GCD(634, 251) = 159134 / 159134

GCD(634, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 634, 251, 74, 598 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 169, 69, 963
• GCD of 377, 270, 28, 545
• GCD of 332, 706, 41, 621
• GCD of 925, 483, 58, 549
• GCD of 420, 295, 80, 663

1. What is the GCD of 634, 251, 74, 598?

GCD of 634, 251, 74, 598 is 1

2. Where do I get the detailed procedure to find GCD of 634, 251, 74, 598?

You can find a detailed procedure to find GCD of 634, 251, 74, 598 on our page.

3. How to find GCD of 634, 251, 74, 598 on a calculator?

You can find the GCD of 634, 251, 74, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.