LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 189, 286, 889, 359 Calculator

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


Online GCD Calculator is useful to find the GCD of 189, 286, 889, 359 quickly. Get the easiest ways to solve the greatest common divisor of 189, 286, 889, 359 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 286, 889, 359 with Factoring?

Given Input numbers are 189, 286, 889, 359

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

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

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 889 :

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

1, 7, 127, 889

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359


GCD of numbers is the greatest common divisor

So, the GCD (189, 286, 889, 359) = 1.

Find GCD of 189, 286, 889, 359 using Prime Factorization

Given numbers are 189, 286, 889, 359

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 286 are 2 x 11 x 13

Prime factors of 889 are 7 x 127

Prime factors of 359 are 359

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

Steps to Calculate GCD of 189, 286, 889, 359 using LCM Formula

Given numbers are 189, 286, 889, 359

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

Apply this formula for all numbers.

Step1:

LCM(189, 286) = 54054

GCD(189, 286) = ( 189 x 286 ) / 54054

= 189 / 286

= 189


Step2:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1


Step3:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1


So, Greatest Common Divisor of 189, 286, 889, 359 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 286, 889, 359

Given numbers are 189, 286, 889, 359
The greatest common divisor of numbers 189, 286, 889, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 286, 889, 359 is 1.

FAQs on GCD of 189, 286, 889, 359 Calculator

1. What is the GCD of 189, 286, 889, 359?

GCD of given numbers 189, 286, 889, 359 is 1


2. How to calculate the greatest common divisor of 189, 286, 889, 359?

We can find the highest common divisor of 189, 286, 889, 359 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 189, 286, 889, 359 i.e 1.


3. How can I use the GCD of 189, 286, 889, 359Calculator?

Out the numbers 189, 286, 889, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.