GCD of 305, 137, 91, 844 Calculator

Given Input numbers are 305, 137, 91, 844

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 305, 137, 91, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 137, 91, 844 is 1.

Therefore, GCD of numbers 305, 137, 91, 844 is 1

Given Input Data is 305, 137, 91, 844

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 137 is 137

Prime Factorization of 91 is 7 x 13

Prime Factorization of 844 is 2 x 2 x 211

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(305, 137) = 41785

GCD(305, 137) = ( 305 x 137 ) / 41785

GCD(305, 137) = 41785 / 41785

GCD(305, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

GCD of 305, 137, 91, 844 is 1

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1. What is the GCD of 305, 137, 91, 844?

GCD of 305, 137, 91, 844 is 1

2. Where do I get the detailed procedure to find GCD of 305, 137, 91, 844?

You can find a detailed procedure to find GCD of 305, 137, 91, 844 on our page.

3. How to find GCD of 305, 137, 91, 844 on a calculator?

You can find the GCD of 305, 137, 91, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.