GCD of 349, 301, 906, 902 Calculator

Given Input numbers are 349, 301, 906, 902

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

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 349, 301, 906, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 301, 906, 902 is 1.

Therefore, GCD of numbers 349, 301, 906, 902 is 1

Given Input Data is 349, 301, 906, 902

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

Prime Factorization of 349 is 349

Prime Factorization of 301 is 7 x 43

Prime Factorization of 906 is 2 x 3 x 151

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(349, 301) = 105049

GCD(349, 301) = ( 349 x 301 ) / 105049

GCD(349, 301) = 105049 / 105049

GCD(349, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 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 349, 301, 906, 902 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 119, 561, 672
• GCD of 793, 980, 541, 153
• GCD of 551, 747, 503, 760
• GCD of 358, 951, 137, 819
• GCD of 349, 577, 998, 435

1. What is the GCD of 349, 301, 906, 902?

GCD of 349, 301, 906, 902 is 1

2. Where do I get the detailed procedure to find GCD of 349, 301, 906, 902?

You can find a detailed procedure to find GCD of 349, 301, 906, 902 on our page.

3. How to find GCD of 349, 301, 906, 902 on a calculator?

You can find the GCD of 349, 301, 906, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.