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GCD of 428, 349, 180, 183 Calculator

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


Online GCD Calculator is useful to find the GCD of 428, 349, 180, 183 quickly. Get the easiest ways to solve the greatest common divisor of 428, 349, 180, 183 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 428, 349, 180, 183 with Factoring?

Given Input numbers are 428, 349, 180, 183

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183


GCD of numbers is the greatest common divisor

So, the GCD (428, 349, 180, 183) = 1.

Find GCD of 428, 349, 180, 183 using Prime Factorization

Given numbers are 428, 349, 180, 183

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 349 are 349

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 183 are 3 x 61

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

Steps to Calculate GCD of 428, 349, 180, 183 using LCM Formula

Given numbers are 428, 349, 180, 183

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

Apply this formula for all numbers.

Step1:

LCM(428, 349) = 149372

GCD(428, 349) = ( 428 x 349 ) / 149372

= 428 / 349

= 428


Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1


Step3:

LCM(1, 183) = 183

GCD(1, 183) = ( 1 x 183 ) / 183

= 1 / 183

= 1


So, Greatest Common Divisor of 428, 349, 180, 183 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 428, 349, 180, 183

Given numbers are 428, 349, 180, 183
The greatest common divisor of numbers 428, 349, 180, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 349, 180, 183 is 1.

FAQs on GCD of 428, 349, 180, 183 Calculator

1. What is the GCD of 428, 349, 180, 183?

GCD of given numbers 428, 349, 180, 183 is 1


2. How to calculate the greatest common divisor of 428, 349, 180, 183?

We can find the highest common divisor of 428, 349, 180, 183 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 428, 349, 180, 183 i.e 1.


3. How can I use the GCD of 428, 349, 180, 183Calculator?

Out the numbers 428, 349, 180, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.