GCD of 902, 886, 189, 351 Calculator

Given Input numbers are 902, 886, 189, 351

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 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 902, 886, 189, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 886, 189, 351 is 1.

Therefore, GCD of numbers 902, 886, 189, 351 is 1

Given Input Data is 902, 886, 189, 351

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 886 is 2 x 443

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 351 is 3 x 3 x 3 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(902, 886) = 399586

GCD(902, 886) = ( 902 x 886 ) / 399586

GCD(902, 886) = 799172 / 399586

GCD(902, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 902, 886, 189, 351 is 1

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1. What is the GCD of 902, 886, 189, 351?

GCD of 902, 886, 189, 351 is 1

2. Where do I get the detailed procedure to find GCD of 902, 886, 189, 351?

You can find a detailed procedure to find GCD of 902, 886, 189, 351 on our page.

3. How to find GCD of 902, 886, 189, 351 on a calculator?

You can find the GCD of 902, 886, 189, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.