GCD of 820, 959, 227, 338 Calculator

Given Input numbers are 820, 959, 227, 338

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 820, 959, 227, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 959, 227, 338 is 1.

Therefore, GCD of numbers 820, 959, 227, 338 is 1

Given Input Data is 820, 959, 227, 338

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 959 is 7 x 137

Prime Factorization of 227 is 227

Prime Factorization of 338 is 2 x 13 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(820, 959) = 786380

GCD(820, 959) = ( 820 x 959 ) / 786380

GCD(820, 959) = 786380 / 786380

GCD(820, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 820, 959, 227, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 541, 671, 884
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• GCD of 247, 320, 939, 456

1. What is the GCD of 820, 959, 227, 338?

GCD of 820, 959, 227, 338 is 1

2. Where do I get the detailed procedure to find GCD of 820, 959, 227, 338?

You can find a detailed procedure to find GCD of 820, 959, 227, 338 on our page.

3. How to find GCD of 820, 959, 227, 338 on a calculator?

You can find the GCD of 820, 959, 227, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.