GCD of 902, 357, 905, 822 Calculator

Given Input numbers are 902, 357, 905, 822

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

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 902, 357, 905, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 357, 905, 822 is 1.

Therefore, GCD of numbers 902, 357, 905, 822 is 1

Given Input Data is 902, 357, 905, 822

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 905 is 5 x 181

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(902, 357) = 322014

GCD(902, 357) = ( 902 x 357 ) / 322014

GCD(902, 357) = 322014 / 322014

GCD(902, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 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 902, 357, 905, 822 is 1

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1. What is the GCD of 902, 357, 905, 822?

GCD of 902, 357, 905, 822 is 1

2. Where do I get the detailed procedure to find GCD of 902, 357, 905, 822?

You can find a detailed procedure to find GCD of 902, 357, 905, 822 on our page.

3. How to find GCD of 902, 357, 905, 822 on a calculator?

You can find the GCD of 902, 357, 905, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.