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GCD of 874, 685, 891, 872 Calculator

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


Online GCD Calculator is useful to find the GCD of 874, 685, 891, 872 quickly. Get the easiest ways to solve the greatest common divisor of 874, 685, 891, 872 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 685, 891, 872 with Factoring?

Given Input numbers are 874, 685, 891, 872

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 872 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (874, 685, 891, 872) = 1.

Find GCD of 874, 685, 891, 872 using Prime Factorization

Given numbers are 874, 685, 891, 872

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 685 are 5 x 137

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

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

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

Steps to Calculate GCD of 874, 685, 891, 872 using LCM Formula

Given numbers are 874, 685, 891, 872

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

Apply this formula for all numbers.

Step1:

LCM(874, 685) = 598690

GCD(874, 685) = ( 874 x 685 ) / 598690

= 874 / 685

= 874


Step2:

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

= 1 / 891

= 1


Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1


So, Greatest Common Divisor of 874, 685, 891, 872 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 685, 891, 872

Given numbers are 874, 685, 891, 872
The greatest common divisor of numbers 874, 685, 891, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 685, 891, 872 is 1.

FAQs on GCD of 874, 685, 891, 872 Calculator

1. What is the GCD of 874, 685, 891, 872?

GCD of given numbers 874, 685, 891, 872 is 1


2. How to calculate the greatest common divisor of 874, 685, 891, 872?

We can find the highest common divisor of 874, 685, 891, 872 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 874, 685, 891, 872 i.e 1.


3. How can I use the GCD of 874, 685, 891, 872Calculator?

Out the numbers 874, 685, 891, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.