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GCD of 189, 618, 939, 426 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, 618, 939, 426 quickly. Get the easiest ways to solve the greatest common divisor of 189, 618, 939, 426 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 618, 939, 426 with Factoring?

Given Input numbers are 189, 618, 939, 426

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 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426


GCD of numbers is the greatest common divisor

So, the GCD (189, 618, 939, 426) = 3.

Find GCD of 189, 618, 939, 426 using Prime Factorization

Given numbers are 189, 618, 939, 426

The list of prime factors of all numbers are

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

Prime factors of 618 are 2 x 3 x 103

Prime factors of 939 are 3 x 313

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 31

Therefore, GCD of 189, 618, 939, 426 is 3.

Steps to Calculate GCD of 189, 618, 939, 426 using LCM Formula

Given numbers are 189, 618, 939, 426

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

Apply this formula for all numbers.

Step1:

LCM(189, 618) = 38934

GCD(189, 618) = ( 189 x 618 ) / 38934

= 189 / 618

= 189


Step2:

LCM(3, 939) = 939

GCD(3, 939) = ( 3 x 939 ) / 939

= 3 / 939

= 3


Step3:

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

= 3 / 426

= 3


So, Greatest Common Divisor of 189, 618, 939, 426 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 618, 939, 426

Given numbers are 189, 618, 939, 426
The greatest common divisor of numbers 189, 618, 939, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 618, 939, 426 is 3.

FAQs on GCD of 189, 618, 939, 426 Calculator

1. What is the GCD of 189, 618, 939, 426?

GCD of given numbers 189, 618, 939, 426 is 3


2. How to calculate the greatest common divisor of 189, 618, 939, 426?

We can find the highest common divisor of 189, 618, 939, 426 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, 618, 939, 426 i.e 3.


3. How can I use the GCD of 189, 618, 939, 426Calculator?

Out the numbers 189, 618, 939, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.