GCD of 208, 380, 260, 575 Calculator

Given Input numbers are 208, 380, 260, 575

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 208, 380, 260, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 380, 260, 575 is 1.

Therefore, GCD of numbers 208, 380, 260, 575 is 1

Given Input Data is 208, 380, 260, 575

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 575 is 5 x 5 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(208, 380) = 19760

GCD(208, 380) = ( 208 x 380 ) / 19760

GCD(208, 380) = 79040 / 19760

GCD(208, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 260

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

LCM(4, 260) = 260

GCD(4, 260) = ( 4 x 260 ) / 260

GCD(4, 260) = 1040 / 260

GCD(4, 260) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 575

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

LCM(4, 575) = 2300

GCD(4, 575) = ( 4 x 575 ) / 2300

GCD(4, 575) = 2300 / 2300

GCD(4, 575) = 1

GCD of 208, 380, 260, 575 is 1

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1. What is the GCD of 208, 380, 260, 575?

GCD of 208, 380, 260, 575 is 1

2. Where do I get the detailed procedure to find GCD of 208, 380, 260, 575?

You can find a detailed procedure to find GCD of 208, 380, 260, 575 on our page.

3. How to find GCD of 208, 380, 260, 575 on a calculator?

You can find the GCD of 208, 380, 260, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.