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GCD of 872, 288, 378, 843 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, 288, 378, 843 quickly. Get the easiest ways to solve the greatest common divisor of 872, 288, 378, 843 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 872, 288, 378, 843 with Factoring?

Given Input numbers are 872, 288, 378, 843

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843


GCD of numbers is the greatest common divisor

So, the GCD (872, 288, 378, 843) = 1.

Find GCD of 872, 288, 378, 843 using Prime Factorization

Given numbers are 872, 288, 378, 843

The list of prime factors of all numbers are

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 843 are 3 x 281

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

Steps to Calculate GCD of 872, 288, 378, 843 using LCM Formula

Given numbers are 872, 288, 378, 843

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

Apply this formula for all numbers.

Step1:

LCM(872, 288) = 31392

GCD(872, 288) = ( 872 x 288 ) / 31392

= 872 / 288

= 872


Step2:

LCM(8, 378) = 1512

GCD(8, 378) = ( 8 x 378 ) / 1512

= 8 / 378

= 8


Step3:

LCM(2, 843) = 1686

GCD(2, 843) = ( 2 x 843 ) / 1686

= 2 / 843

= 2


So, Greatest Common Divisor of 872, 288, 378, 843 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 872, 288, 378, 843

Given numbers are 872, 288, 378, 843
The greatest common divisor of numbers 872, 288, 378, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 288, 378, 843 is 1.

FAQs on GCD of 872, 288, 378, 843 Calculator

1. What is the GCD of 872, 288, 378, 843?

GCD of given numbers 872, 288, 378, 843 is 1


2. How to calculate the greatest common divisor of 872, 288, 378, 843?

We can find the highest common divisor of 872, 288, 378, 843 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, 288, 378, 843 i.e 1.


3. How can I use the GCD of 872, 288, 378, 843Calculator?

Out the numbers 872, 288, 378, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.