GCD of 909, 131, 49, 193 Calculator

Given Input numbers are 909, 131, 49, 193

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

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 49

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

1, 7, 49

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 909, 131, 49, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 131, 49, 193 is 1.

Therefore, GCD of numbers 909, 131, 49, 193 is 1

Given Input Data is 909, 131, 49, 193

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 131 is 131

Prime Factorization of 49 is 7 x 7

Prime Factorization of 193 is 193

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(909, 131) = 119079

GCD(909, 131) = ( 909 x 131 ) / 119079

GCD(909, 131) = 119079 / 119079

GCD(909, 131) = 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 193

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

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

GCD(1, 193) = 193 / 193

GCD(1, 193) = 1

GCD of 909, 131, 49, 193 is 1

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1. What is the GCD of 909, 131, 49, 193?

GCD of 909, 131, 49, 193 is 1

2. Where do I get the detailed procedure to find GCD of 909, 131, 49, 193?

You can find a detailed procedure to find GCD of 909, 131, 49, 193 on our page.

3. How to find GCD of 909, 131, 49, 193 on a calculator?

You can find the GCD of 909, 131, 49, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.