GCD of 261, 476, 789, 431 Calculator

Given Input numbers are 261, 476, 789, 431

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 789

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

1, 3, 263, 789

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 261, 476, 789, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 476, 789, 431 is 1.

Therefore, GCD of numbers 261, 476, 789, 431 is 1

Given Input Data is 261, 476, 789, 431

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 789 is 3 x 263

Prime Factorization of 431 is 431

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(261, 476) = 124236

GCD(261, 476) = ( 261 x 476 ) / 124236

GCD(261, 476) = 124236 / 124236

GCD(261, 476) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 261, 476, 789, 431 is 1

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1. What is the GCD of 261, 476, 789, 431?

GCD of 261, 476, 789, 431 is 1

2. Where do I get the detailed procedure to find GCD of 261, 476, 789, 431?

You can find a detailed procedure to find GCD of 261, 476, 789, 431 on our page.

3. How to find GCD of 261, 476, 789, 431 on a calculator?

You can find the GCD of 261, 476, 789, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.