GCD of 388, 698, 25, 509 Calculator

Given Input numbers are 388, 698, 25, 509

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 25

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

1, 5, 25

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 388, 698, 25, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 698, 25, 509 is 1.

Therefore, GCD of numbers 388, 698, 25, 509 is 1

Given Input Data is 388, 698, 25, 509

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 698 is 2 x 349

Prime Factorization of 25 is 5 x 5

Prime Factorization of 509 is 509

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(388, 698) = 135412

GCD(388, 698) = ( 388 x 698 ) / 135412

GCD(388, 698) = 270824 / 135412

GCD(388, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 388, 698, 25, 509 is 1

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1. What is the GCD of 388, 698, 25, 509?

GCD of 388, 698, 25, 509 is 1

2. Where do I get the detailed procedure to find GCD of 388, 698, 25, 509?

You can find a detailed procedure to find GCD of 388, 698, 25, 509 on our page.

3. How to find GCD of 388, 698, 25, 509 on a calculator?

You can find the GCD of 388, 698, 25, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.