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GCD of 189, 294, 889, 369 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, 294, 889, 369 quickly. Get the easiest ways to solve the greatest common divisor of 189, 294, 889, 369 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 294, 889, 369 with Factoring?

Given Input numbers are 189, 294, 889, 369

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 889 :

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

1, 7, 127, 889

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (189, 294, 889, 369) = 1.

Find GCD of 189, 294, 889, 369 using Prime Factorization

Given numbers are 189, 294, 889, 369

The list of prime factors of all numbers are

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

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 889 are 7 x 127

Prime factors of 369 are 3 x 3 x 41

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

Steps to Calculate GCD of 189, 294, 889, 369 using LCM Formula

Given numbers are 189, 294, 889, 369

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

Apply this formula for all numbers.

Step1:

LCM(189, 294) = 2646

GCD(189, 294) = ( 189 x 294 ) / 2646

= 189 / 294

= 189


Step2:

LCM(21, 889) = 2667

GCD(21, 889) = ( 21 x 889 ) / 2667

= 21 / 889

= 21


Step3:

LCM(7, 369) = 2583

GCD(7, 369) = ( 7 x 369 ) / 2583

= 7 / 369

= 7


So, Greatest Common Divisor of 189, 294, 889, 369 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 294, 889, 369

Given numbers are 189, 294, 889, 369
The greatest common divisor of numbers 189, 294, 889, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 294, 889, 369 is 1.

FAQs on GCD of 189, 294, 889, 369 Calculator

1. What is the GCD of 189, 294, 889, 369?

GCD of given numbers 189, 294, 889, 369 is 1


2. How to calculate the greatest common divisor of 189, 294, 889, 369?

We can find the highest common divisor of 189, 294, 889, 369 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, 294, 889, 369 i.e 1.


3. How can I use the GCD of 189, 294, 889, 369Calculator?

Out the numbers 189, 294, 889, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.