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GCD of 429, 214, 189, 382 Calculator

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


Online GCD Calculator is useful to find the GCD of 429, 214, 189, 382 quickly. Get the easiest ways to solve the greatest common divisor of 429, 214, 189, 382 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 429, 214, 189, 382 with Factoring?

Given Input numbers are 429, 214, 189, 382

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 189 :

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

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382


GCD of numbers is the greatest common divisor

So, the GCD (429, 214, 189, 382) = 1.

Find GCD of 429, 214, 189, 382 using Prime Factorization

Given numbers are 429, 214, 189, 382

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 214 are 2 x 107

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

Prime factors of 382 are 2 x 191

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

Steps to Calculate GCD of 429, 214, 189, 382 using LCM Formula

Given numbers are 429, 214, 189, 382

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

Apply this formula for all numbers.

Step1:

LCM(429, 214) = 91806

GCD(429, 214) = ( 429 x 214 ) / 91806

= 429 / 214

= 429


Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


Step3:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1


So, Greatest Common Divisor of 429, 214, 189, 382 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 429, 214, 189, 382

Given numbers are 429, 214, 189, 382
The greatest common divisor of numbers 429, 214, 189, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 214, 189, 382 is 1.

FAQs on GCD of 429, 214, 189, 382 Calculator

1. What is the GCD of 429, 214, 189, 382?

GCD of given numbers 429, 214, 189, 382 is 1


2. How to calculate the greatest common divisor of 429, 214, 189, 382?

We can find the highest common divisor of 429, 214, 189, 382 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 429, 214, 189, 382 i.e 1.


3. How can I use the GCD of 429, 214, 189, 382Calculator?

Out the numbers 429, 214, 189, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.