GCD of 421, 874, 931, 789 Calculator

Given Input numbers are 421, 874, 931, 789

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 421, 874, 931, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 874, 931, 789 is 1.

Therefore, GCD of numbers 421, 874, 931, 789 is 1

Given Input Data is 421, 874, 931, 789

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

Prime Factorization of 421 is 421

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 789 is 3 x 263

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(421, 874) = 367954

GCD(421, 874) = ( 421 x 874 ) / 367954

GCD(421, 874) = 367954 / 367954

GCD(421, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 421, 874, 931, 789 is 1

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1. What is the GCD of 421, 874, 931, 789?

GCD of 421, 874, 931, 789 is 1

2. Where do I get the detailed procedure to find GCD of 421, 874, 931, 789?

You can find a detailed procedure to find GCD of 421, 874, 931, 789 on our page.

3. How to find GCD of 421, 874, 931, 789 on a calculator?

You can find the GCD of 421, 874, 931, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.