GCD of 208, 119, 569, 325 Calculator

Given Input numbers are 208, 119, 569, 325

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 208, 119, 569, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 119, 569, 325 is 1.

Therefore, GCD of numbers 208, 119, 569, 325 is 1

Given Input Data is 208, 119, 569, 325

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 119 is 7 x 17

Prime Factorization of 569 is 569

Prime Factorization of 325 is 5 x 5 x 13

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(208, 119) = 24752

GCD(208, 119) = ( 208 x 119 ) / 24752

GCD(208, 119) = 24752 / 24752

GCD(208, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 569

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

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

GCD(1, 569) = 569 / 569

GCD(1, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

GCD of 208, 119, 569, 325 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 855, 456, 136
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• GCD of 882, 523, 474, 736

1. What is the GCD of 208, 119, 569, 325?

GCD of 208, 119, 569, 325 is 1

2. Where do I get the detailed procedure to find GCD of 208, 119, 569, 325?

You can find a detailed procedure to find GCD of 208, 119, 569, 325 on our page.

3. How to find GCD of 208, 119, 569, 325 on a calculator?

You can find the GCD of 208, 119, 569, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.