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GCD of 345, 819, 908, 936 Calculator

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


Online GCD Calculator is useful to find the GCD of 345, 819, 908, 936 quickly. Get the easiest ways to solve the greatest common divisor of 345, 819, 908, 936 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 345, 819, 908, 936 with Factoring?

Given Input numbers are 345, 819, 908, 936

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 908 :

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

1, 2, 4, 227, 454, 908

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936


GCD of numbers is the greatest common divisor

So, the GCD (345, 819, 908, 936) = 1.

Find GCD of 345, 819, 908, 936 using Prime Factorization

Given numbers are 345, 819, 908, 936

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 908 are 2 x 2 x 227

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

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

Steps to Calculate GCD of 345, 819, 908, 936 using LCM Formula

Given numbers are 345, 819, 908, 936

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

Apply this formula for all numbers.

Step1:

LCM(345, 819) = 94185

GCD(345, 819) = ( 345 x 819 ) / 94185

= 345 / 819

= 345


Step2:

LCM(3, 908) = 2724

GCD(3, 908) = ( 3 x 908 ) / 2724

= 3 / 908

= 3


Step3:

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

= 1 / 936

= 1


So, Greatest Common Divisor of 345, 819, 908, 936 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 345, 819, 908, 936

Given numbers are 345, 819, 908, 936
The greatest common divisor of numbers 345, 819, 908, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 819, 908, 936 is 1.

FAQs on GCD of 345, 819, 908, 936 Calculator

1. What is the GCD of 345, 819, 908, 936?

GCD of given numbers 345, 819, 908, 936 is 1


2. How to calculate the greatest common divisor of 345, 819, 908, 936?

We can find the highest common divisor of 345, 819, 908, 936 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 345, 819, 908, 936 i.e 1.


3. How can I use the GCD of 345, 819, 908, 936Calculator?

Out the numbers 345, 819, 908, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.