GCD of 25, 508, 334, 681 Calculator

Given Input numbers are 25, 508, 334, 681

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 25, 508, 334, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 508, 334, 681 is 1.

Therefore, GCD of numbers 25, 508, 334, 681 is 1

Given Input Data is 25, 508, 334, 681

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 334 is 2 x 167

Prime Factorization of 681 is 3 x 227

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(25, 508) = 12700

GCD(25, 508) = ( 25 x 508 ) / 12700

GCD(25, 508) = 12700 / 12700

GCD(25, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

GCD of 25, 508, 334, 681 is 1

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1. What is the GCD of 25, 508, 334, 681?

GCD of 25, 508, 334, 681 is 1

2. Where do I get the detailed procedure to find GCD of 25, 508, 334, 681?

You can find a detailed procedure to find GCD of 25, 508, 334, 681 on our page.

3. How to find GCD of 25, 508, 334, 681 on a calculator?

You can find the GCD of 25, 508, 334, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.