GCD of 259, 553, 202, 790 Calculator

Given Input numbers are 259, 553, 202, 790

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 259, 553, 202, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 553, 202, 790 is 1.

Therefore, GCD of numbers 259, 553, 202, 790 is 1

Given Input Data is 259, 553, 202, 790

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 553 is 7 x 79

Prime Factorization of 202 is 2 x 101

Prime Factorization of 790 is 2 x 5 x 79

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(259, 553) = 20461

GCD(259, 553) = ( 259 x 553 ) / 20461

GCD(259, 553) = 143227 / 20461

GCD(259, 553) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 202

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

LCM(7, 202) = 1414

GCD(7, 202) = ( 7 x 202 ) / 1414

GCD(7, 202) = 1414 / 1414

GCD(7, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 259, 553, 202, 790 is 1

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1. What is the GCD of 259, 553, 202, 790?

GCD of 259, 553, 202, 790 is 1

2. Where do I get the detailed procedure to find GCD of 259, 553, 202, 790?

You can find a detailed procedure to find GCD of 259, 553, 202, 790 on our page.

3. How to find GCD of 259, 553, 202, 790 on a calculator?

You can find the GCD of 259, 553, 202, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.