GCD of 371, 822, 909, 368 Calculator

Given Input numbers are 371, 822, 909, 368

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 822

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

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

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 371, 822, 909, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 822, 909, 368 is 1.

Therefore, GCD of numbers 371, 822, 909, 368 is 1

Given Input Data is 371, 822, 909, 368

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 368 is 2 x 2 x 2 x 2 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(371, 822) = 304962

GCD(371, 822) = ( 371 x 822 ) / 304962

GCD(371, 822) = 304962 / 304962

GCD(371, 822) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 371, 822, 909, 368 is 1

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1. What is the GCD of 371, 822, 909, 368?

GCD of 371, 822, 909, 368 is 1

2. Where do I get the detailed procedure to find GCD of 371, 822, 909, 368?

You can find a detailed procedure to find GCD of 371, 822, 909, 368 on our page.

3. How to find GCD of 371, 822, 909, 368 on a calculator?

You can find the GCD of 371, 822, 909, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.