LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 838, 908, 369, 205 Calculator

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


Online GCD Calculator is useful to find the GCD of 838, 908, 369, 205 quickly. Get the easiest ways to solve the greatest common divisor of 838, 908, 369, 205 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 908, 369, 205 with Factoring?

Given Input numbers are 838, 908, 369, 205

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205


GCD of numbers is the greatest common divisor

So, the GCD (838, 908, 369, 205) = 1.

Find GCD of 838, 908, 369, 205 using Prime Factorization

Given numbers are 838, 908, 369, 205

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 908 are 2 x 2 x 227

Prime factors of 369 are 3 x 3 x 41

Prime factors of 205 are 5 x 41

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

Steps to Calculate GCD of 838, 908, 369, 205 using LCM Formula

Given numbers are 838, 908, 369, 205

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

Apply this formula for all numbers.

Step1:

LCM(838, 908) = 380452

GCD(838, 908) = ( 838 x 908 ) / 380452

= 838 / 908

= 838


Step2:

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

= 2 / 369

= 2


Step3:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1


So, Greatest Common Divisor of 838, 908, 369, 205 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 908, 369, 205

Given numbers are 838, 908, 369, 205
The greatest common divisor of numbers 838, 908, 369, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 908, 369, 205 is 1.

FAQs on GCD of 838, 908, 369, 205 Calculator

1. What is the GCD of 838, 908, 369, 205?

GCD of given numbers 838, 908, 369, 205 is 1


2. How to calculate the greatest common divisor of 838, 908, 369, 205?

We can find the highest common divisor of 838, 908, 369, 205 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 838, 908, 369, 205 i.e 1.


3. How can I use the GCD of 838, 908, 369, 205Calculator?

Out the numbers 838, 908, 369, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.