GCD of 351, 544, 838, 902 Calculator

Given Input numbers are 351, 544, 838, 902

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

Divisors of 351

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

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 838

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

1, 2, 419, 838

Divisors of 902

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

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

Greatest Common Divisior

We found the divisors of 351, 544, 838, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 544, 838, 902 is 1.

Therefore, GCD of numbers 351, 544, 838, 902 is 1

Given Input Data is 351, 544, 838, 902

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 838 is 2 x 419

Prime Factorization of 902 is 2 x 11 x 41

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(351, 544) = 190944

GCD(351, 544) = ( 351 x 544 ) / 190944

GCD(351, 544) = 190944 / 190944

GCD(351, 544) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 351, 544, 838, 902 is 1

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1. What is the GCD of 351, 544, 838, 902?

GCD of 351, 544, 838, 902 is 1

2. Where do I get the detailed procedure to find GCD of 351, 544, 838, 902?

You can find a detailed procedure to find GCD of 351, 544, 838, 902 on our page.

3. How to find GCD of 351, 544, 838, 902 on a calculator?

You can find the GCD of 351, 544, 838, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.