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GCD of 873, 864, 567, 316 Calculator

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


Online GCD Calculator is useful to find the GCD of 873, 864, 567, 316 quickly. Get the easiest ways to solve the greatest common divisor of 873, 864, 567, 316 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 873, 864, 567, 316 with Factoring?

Given Input numbers are 873, 864, 567, 316

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316


GCD of numbers is the greatest common divisor

So, the GCD (873, 864, 567, 316) = 1.

Find GCD of 873, 864, 567, 316 using Prime Factorization

Given numbers are 873, 864, 567, 316

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 316 are 2 x 2 x 79

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

Steps to Calculate GCD of 873, 864, 567, 316 using LCM Formula

Given numbers are 873, 864, 567, 316

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

Apply this formula for all numbers.

Step1:

LCM(873, 864) = 83808

GCD(873, 864) = ( 873 x 864 ) / 83808

= 873 / 864

= 873


Step2:

LCM(9, 567) = 567

GCD(9, 567) = ( 9 x 567 ) / 567

= 9 / 567

= 9


Step3:

LCM(9, 316) = 2844

GCD(9, 316) = ( 9 x 316 ) / 2844

= 9 / 316

= 9


So, Greatest Common Divisor of 873, 864, 567, 316 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 873, 864, 567, 316

Given numbers are 873, 864, 567, 316
The greatest common divisor of numbers 873, 864, 567, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 864, 567, 316 is 1.

FAQs on GCD of 873, 864, 567, 316 Calculator

1. What is the GCD of 873, 864, 567, 316?

GCD of given numbers 873, 864, 567, 316 is 1


2. How to calculate the greatest common divisor of 873, 864, 567, 316?

We can find the highest common divisor of 873, 864, 567, 316 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 873, 864, 567, 316 i.e 1.


3. How can I use the GCD of 873, 864, 567, 316Calculator?

Out the numbers 873, 864, 567, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.