GCD of 902, 836, 928, 353 Calculator

Given Input numbers are 902, 836, 928, 353

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 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 902, 836, 928, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 836, 928, 353 is 1.

Therefore, GCD of numbers 902, 836, 928, 353 is 1

Given Input Data is 902, 836, 928, 353

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 836 is 2 x 2 x 11 x 19

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 353 is 353

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, 836) = 34276

GCD(902, 836) = ( 902 x 836 ) / 34276

GCD(902, 836) = 754072 / 34276

GCD(902, 836) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 928

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

LCM(22, 928) = 10208

GCD(22, 928) = ( 22 x 928 ) / 10208

GCD(22, 928) = 20416 / 10208

GCD(22, 928) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

GCD of 902, 836, 928, 353 is 1

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1. What is the GCD of 902, 836, 928, 353?

GCD of 902, 836, 928, 353 is 1

2. Where do I get the detailed procedure to find GCD of 902, 836, 928, 353?

You can find a detailed procedure to find GCD of 902, 836, 928, 353 on our page.

3. How to find GCD of 902, 836, 928, 353 on a calculator?

You can find the GCD of 902, 836, 928, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.