GCD of 431, 629, 777, 842 Calculator

Given Input numbers are 431, 629, 777, 842

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

Divisors of 431

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

1, 431

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 431, 629, 777, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 629, 777, 842 is 1.

Therefore, GCD of numbers 431, 629, 777, 842 is 1

Given Input Data is 431, 629, 777, 842

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

Prime Factorization of 431 is 431

Prime Factorization of 629 is 17 x 37

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 842 is 2 x 421

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(431, 629) = 271099

GCD(431, 629) = ( 431 x 629 ) / 271099

GCD(431, 629) = 271099 / 271099

GCD(431, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 777

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

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 431, 629, 777, 842 is 1

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1. What is the GCD of 431, 629, 777, 842?

GCD of 431, 629, 777, 842 is 1

2. Where do I get the detailed procedure to find GCD of 431, 629, 777, 842?

You can find a detailed procedure to find GCD of 431, 629, 777, 842 on our page.

3. How to find GCD of 431, 629, 777, 842 on a calculator?

You can find the GCD of 431, 629, 777, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.