GCD of 291, 322, 687, 123 Calculator

Given Input numbers are 291, 322, 687, 123

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 291, 322, 687, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 322, 687, 123 is 1.

Therefore, GCD of numbers 291, 322, 687, 123 is 1

Given Input Data is 291, 322, 687, 123

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 687 is 3 x 229

Prime Factorization of 123 is 3 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(291, 322) = 93702

GCD(291, 322) = ( 291 x 322 ) / 93702

GCD(291, 322) = 93702 / 93702

GCD(291, 322) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 291, 322, 687, 123 is 1

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1. What is the GCD of 291, 322, 687, 123?

GCD of 291, 322, 687, 123 is 1

2. Where do I get the detailed procedure to find GCD of 291, 322, 687, 123?

You can find a detailed procedure to find GCD of 291, 322, 687, 123 on our page.

3. How to find GCD of 291, 322, 687, 123 on a calculator?

You can find the GCD of 291, 322, 687, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.