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GCD of 369, 905, 780, 243 Calculator

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


Online GCD Calculator is useful to find the GCD of 369, 905, 780, 243 quickly. Get the easiest ways to solve the greatest common divisor of 369, 905, 780, 243 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 905, 780, 243 with Factoring?

Given Input numbers are 369, 905, 780, 243

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

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243


GCD of numbers is the greatest common divisor

So, the GCD (369, 905, 780, 243) = 1.

Find GCD of 369, 905, 780, 243 using Prime Factorization

Given numbers are 369, 905, 780, 243

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 905 are 5 x 181

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 369, 905, 780, 243 using LCM Formula

Given numbers are 369, 905, 780, 243

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

Apply this formula for all numbers.

Step1:

LCM(369, 905) = 333945

GCD(369, 905) = ( 369 x 905 ) / 333945

= 369 / 905

= 369


Step2:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1


Step3:

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

= 1 / 243

= 1


So, Greatest Common Divisor of 369, 905, 780, 243 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 905, 780, 243

Given numbers are 369, 905, 780, 243
The greatest common divisor of numbers 369, 905, 780, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 905, 780, 243 is 1.

FAQs on GCD of 369, 905, 780, 243 Calculator

1. What is the GCD of 369, 905, 780, 243?

GCD of given numbers 369, 905, 780, 243 is 1


2. How to calculate the greatest common divisor of 369, 905, 780, 243?

We can find the highest common divisor of 369, 905, 780, 243 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 369, 905, 780, 243 i.e 1.


3. How can I use the GCD of 369, 905, 780, 243Calculator?

Out the numbers 369, 905, 780, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.