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GCD of 872, 328, 574, 443 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 872, 328, 574, 443 quickly. Get the easiest ways to solve the greatest common divisor of 872, 328, 574, 443 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 872, 328, 574, 443 with Factoring?

Given Input numbers are 872, 328, 574, 443

In the factoring method, we have to find the divisors of all numbers

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 443 :

The positive integer divisors of 443 that completely divides 443 are.

1, 443


GCD of numbers is the greatest common divisor

So, the GCD (872, 328, 574, 443) = 1.

Find GCD of 872, 328, 574, 443 using Prime Factorization

Given numbers are 872, 328, 574, 443

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 574 are 2 x 7 x 41

Prime factors of 443 are 443

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 872, 328, 574, 443 using LCM Formula

Given numbers are 872, 328, 574, 443

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(872, 328) = 35752

GCD(872, 328) = ( 872 x 328 ) / 35752

= 872 / 328

= 872


Step2:

LCM(8, 574) = 2296

GCD(8, 574) = ( 8 x 574 ) / 2296

= 8 / 574

= 8


Step3:

LCM(2, 443) = 886

GCD(2, 443) = ( 2 x 443 ) / 886

= 2 / 443

= 2


So, Greatest Common Divisor of 872, 328, 574, 443 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 872, 328, 574, 443

Given numbers are 872, 328, 574, 443
The greatest common divisor of numbers 872, 328, 574, 443 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 328, 574, 443 is 1.

FAQs on GCD of 872, 328, 574, 443 Calculator

1. What is the GCD of 872, 328, 574, 443?

GCD of given numbers 872, 328, 574, 443 is 1


2. How to calculate the greatest common divisor of 872, 328, 574, 443?

We can find the highest common divisor of 872, 328, 574, 443 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 872, 328, 574, 443 i.e 1.


3. How can I use the GCD of 872, 328, 574, 443Calculator?

Out the numbers 872, 328, 574, 443 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.