GCD of 311, 906, 458, 689 Calculator

Given Input numbers are 311, 906, 458, 689

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 311, 906, 458, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 906, 458, 689 is 1.

Therefore, GCD of numbers 311, 906, 458, 689 is 1

Given Input Data is 311, 906, 458, 689

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

Prime Factorization of 311 is 311

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 458 is 2 x 229

Prime Factorization of 689 is 13 x 53

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(311, 906) = 281766

GCD(311, 906) = ( 311 x 906 ) / 281766

GCD(311, 906) = 281766 / 281766

GCD(311, 906) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 311, 906, 458, 689 is 1

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1. What is the GCD of 311, 906, 458, 689?

GCD of 311, 906, 458, 689 is 1

2. Where do I get the detailed procedure to find GCD of 311, 906, 458, 689?

You can find a detailed procedure to find GCD of 311, 906, 458, 689 on our page.

3. How to find GCD of 311, 906, 458, 689 on a calculator?

You can find the GCD of 311, 906, 458, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.