GCD of 251, 682, 74, 444 Calculator

Given Input numbers are 251, 682, 74, 444

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

Divisors of 251

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

1, 251

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 74

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

1, 2, 37, 74

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 251, 682, 74, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 682, 74, 444 is 1.

Therefore, GCD of numbers 251, 682, 74, 444 is 1

Given Input Data is 251, 682, 74, 444

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

Prime Factorization of 251 is 251

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 74 is 2 x 37

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(251, 682) = 171182

GCD(251, 682) = ( 251 x 682 ) / 171182

GCD(251, 682) = 171182 / 171182

GCD(251, 682) = 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 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 251, 682, 74, 444 is 1

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1. What is the GCD of 251, 682, 74, 444?

GCD of 251, 682, 74, 444 is 1

2. Where do I get the detailed procedure to find GCD of 251, 682, 74, 444?

You can find a detailed procedure to find GCD of 251, 682, 74, 444 on our page.

3. How to find GCD of 251, 682, 74, 444 on a calculator?

You can find the GCD of 251, 682, 74, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.