GCD of 259, 201, 348, 822 Calculator

Given Input numbers are 259, 201, 348, 822

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 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 259, 201, 348, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 201, 348, 822 is 1.

Therefore, GCD of numbers 259, 201, 348, 822 is 1

Given Input Data is 259, 201, 348, 822

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 201 is 3 x 67

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 822 is 2 x 3 x 137

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, 201) = 52059

GCD(259, 201) = ( 259 x 201 ) / 52059

GCD(259, 201) = 52059 / 52059

GCD(259, 201) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 259, 201, 348, 822 is 1

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1. What is the GCD of 259, 201, 348, 822?

GCD of 259, 201, 348, 822 is 1

2. Where do I get the detailed procedure to find GCD of 259, 201, 348, 822?

You can find a detailed procedure to find GCD of 259, 201, 348, 822 on our page.

3. How to find GCD of 259, 201, 348, 822 on a calculator?

You can find the GCD of 259, 201, 348, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.