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GCD of 889, 861, 399 Calculator

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


Online GCD Calculator is useful to find the GCD of 889, 861, 399 quickly. Get the easiest ways to solve the greatest common divisor of 889, 861, 399 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 889, 861, 399 with Factoring?

Given Input numbers are 889, 861, 399

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

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399


GCD of numbers is the greatest common divisor

So, the GCD (889, 861, 399) = 7.

Find GCD of 889, 861, 399 using Prime Factorization

Given numbers are 889, 861, 399

The list of prime factors of all numbers are

Prime factors of 889 are 7 x 127

Prime factors of 861 are 3 x 7 x 41

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 71

Therefore, GCD of 889, 861, 399 is 7.

Steps to Calculate GCD of 889, 861, 399 using LCM Formula

Given numbers are 889, 861, 399

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

Apply this formula for all numbers.

Step1:

LCM(889, 861) = 109347

GCD(889, 861) = ( 889 x 861 ) / 109347

= 889 / 861

= 889


Step2:

LCM(7, 399) = 399

GCD(7, 399) = ( 7 x 399 ) / 399

= 7 / 399

= 7


So, Greatest Common Divisor of 889, 861, 399 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 889, 861, 399

Given numbers are 889, 861, 399
The greatest common divisor of numbers 889, 861, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 889, 861, 399 is 7.

FAQs on GCD of 889, 861, 399 Calculator

1. What is the GCD of 889, 861, 399?

GCD of given numbers 889, 861, 399 is 7


2. How to calculate the greatest common divisor of 889, 861, 399?

We can find the highest common divisor of 889, 861, 399 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 889, 861, 399 i.e 7.


3. How can I use the GCD of 889, 861, 399Calculator?

Out the numbers 889, 861, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.