GCD of 838, 756, 813, 909 Calculator

Given Input numbers are 838, 756, 813, 909

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 838, 756, 813, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 756, 813, 909 is 1.

Therefore, GCD of numbers 838, 756, 813, 909 is 1

Given Input Data is 838, 756, 813, 909

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 813 is 3 x 271

Prime Factorization of 909 is 3 x 3 x 101

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(838, 756) = 316764

GCD(838, 756) = ( 838 x 756 ) / 316764

GCD(838, 756) = 633528 / 316764

GCD(838, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 813

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

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

GCD(2, 813) = 1626 / 1626

GCD(2, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 838, 756, 813, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 337, 283, 946
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• GCD of 219, 123, 110, 809
• GCD of 965, 940, 191, 321

1. What is the GCD of 838, 756, 813, 909?

GCD of 838, 756, 813, 909 is 1

2. Where do I get the detailed procedure to find GCD of 838, 756, 813, 909?

You can find a detailed procedure to find GCD of 838, 756, 813, 909 on our page.

3. How to find GCD of 838, 756, 813, 909 on a calculator?

You can find the GCD of 838, 756, 813, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.