GCD of 872, 431, 690, 344 Calculator

Given Input numbers are 872, 431, 690, 344

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 431

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

1, 431

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 872, 431, 690, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 431, 690, 344 is 1.

Therefore, GCD of numbers 872, 431, 690, 344 is 1

Given Input Data is 872, 431, 690, 344

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 431 is 431

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(872, 431) = 375832

GCD(872, 431) = ( 872 x 431 ) / 375832

GCD(872, 431) = 375832 / 375832

GCD(872, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 872, 431, 690, 344 is 1

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1. What is the GCD of 872, 431, 690, 344?

GCD of 872, 431, 690, 344 is 1

2. Where do I get the detailed procedure to find GCD of 872, 431, 690, 344?

You can find a detailed procedure to find GCD of 872, 431, 690, 344 on our page.

3. How to find GCD of 872, 431, 690, 344 on a calculator?

You can find the GCD of 872, 431, 690, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.