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GCD of 908, 364, 843, 400 Calculator

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


Online GCD Calculator is useful to find the GCD of 908, 364, 843, 400 quickly. Get the easiest ways to solve the greatest common divisor of 908, 364, 843, 400 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 908, 364, 843, 400 with Factoring?

Given Input numbers are 908, 364, 843, 400

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

Divisors of 908 :

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

1, 2, 4, 227, 454, 908

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 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400


GCD of numbers is the greatest common divisor

So, the GCD (908, 364, 843, 400) = 1.

Find GCD of 908, 364, 843, 400 using Prime Factorization

Given numbers are 908, 364, 843, 400

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

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

Prime factors of 843 are 3 x 281

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Steps to Calculate GCD of 908, 364, 843, 400 using LCM Formula

Given numbers are 908, 364, 843, 400

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

Apply this formula for all numbers.

Step1:

LCM(908, 364) = 82628

GCD(908, 364) = ( 908 x 364 ) / 82628

= 908 / 364

= 908


Step2:

LCM(4, 843) = 3372

GCD(4, 843) = ( 4 x 843 ) / 3372

= 4 / 843

= 4


Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1


So, Greatest Common Divisor of 908, 364, 843, 400 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 908, 364, 843, 400

Given numbers are 908, 364, 843, 400
The greatest common divisor of numbers 908, 364, 843, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 364, 843, 400 is 1.

FAQs on GCD of 908, 364, 843, 400 Calculator

1. What is the GCD of 908, 364, 843, 400?

GCD of given numbers 908, 364, 843, 400 is 1


2. How to calculate the greatest common divisor of 908, 364, 843, 400?

We can find the highest common divisor of 908, 364, 843, 400 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 908, 364, 843, 400 i.e 1.


3. How can I use the GCD of 908, 364, 843, 400Calculator?

Out the numbers 908, 364, 843, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.