GCD of 367, 909, 49, 905 Calculator

Given Input numbers are 367, 909, 49, 905

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 905

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

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 367, 909, 49, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 909, 49, 905 is 1.

Therefore, GCD of numbers 367, 909, 49, 905 is 1

Given Input Data is 367, 909, 49, 905

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

Prime Factorization of 367 is 367

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 49 is 7 x 7

Prime Factorization of 905 is 5 x 181

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(367, 909) = 333603

GCD(367, 909) = ( 367 x 909 ) / 333603

GCD(367, 909) = 333603 / 333603

GCD(367, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

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

GCD of 367, 909, 49, 905 is 1

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1. What is the GCD of 367, 909, 49, 905?

GCD of 367, 909, 49, 905 is 1

2. Where do I get the detailed procedure to find GCD of 367, 909, 49, 905?

You can find a detailed procedure to find GCD of 367, 909, 49, 905 on our page.

3. How to find GCD of 367, 909, 49, 905 on a calculator?

You can find the GCD of 367, 909, 49, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.