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GCD of 364, 900, 229, 839 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 900, 229, 839 quickly. Get the easiest ways to solve the greatest common divisor of 364, 900, 229, 839 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 900, 229, 839 with Factoring?

Given Input numbers are 364, 900, 229, 839

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 839 :

The positive integer divisors of 839 that completely divides 839 are.

1, 839


GCD of numbers is the greatest common divisor

So, the GCD (364, 900, 229, 839) = 1.

Find GCD of 364, 900, 229, 839 using Prime Factorization

Given numbers are 364, 900, 229, 839

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 229 are 229

Prime factors of 839 are 839

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

Steps to Calculate GCD of 364, 900, 229, 839 using LCM Formula

Given numbers are 364, 900, 229, 839

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

Apply this formula for all numbers.

Step1:

LCM(364, 900) = 81900

GCD(364, 900) = ( 364 x 900 ) / 81900

= 364 / 900

= 364


Step2:

LCM(4, 229) = 916

GCD(4, 229) = ( 4 x 229 ) / 916

= 4 / 229

= 4


Step3:

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

= 1 / 839

= 1


So, Greatest Common Divisor of 364, 900, 229, 839 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 900, 229, 839

Given numbers are 364, 900, 229, 839
The greatest common divisor of numbers 364, 900, 229, 839 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 900, 229, 839 is 1.

FAQs on GCD of 364, 900, 229, 839 Calculator

1. What is the GCD of 364, 900, 229, 839?

GCD of given numbers 364, 900, 229, 839 is 1


2. How to calculate the greatest common divisor of 364, 900, 229, 839?

We can find the highest common divisor of 364, 900, 229, 839 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 364, 900, 229, 839 i.e 1.


3. How can I use the GCD of 364, 900, 229, 839Calculator?

Out the numbers 364, 900, 229, 839 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.