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GCD of 370, 405, 369, 117 Calculator

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


Online GCD Calculator is useful to find the GCD of 370, 405, 369, 117 quickly. Get the easiest ways to solve the greatest common divisor of 370, 405, 369, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 405, 369, 117 with Factoring?

Given Input numbers are 370, 405, 369, 117

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (370, 405, 369, 117) = 1.

Find GCD of 370, 405, 369, 117 using Prime Factorization

Given numbers are 370, 405, 369, 117

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 369 are 3 x 3 x 41

Prime factors of 117 are 3 x 3 x 13

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

Steps to Calculate GCD of 370, 405, 369, 117 using LCM Formula

Given numbers are 370, 405, 369, 117

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

Apply this formula for all numbers.

Step1:

LCM(370, 405) = 29970

GCD(370, 405) = ( 370 x 405 ) / 29970

= 370 / 405

= 370


Step2:

LCM(5, 369) = 1845

GCD(5, 369) = ( 5 x 369 ) / 1845

= 5 / 369

= 5


Step3:

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

= 1 / 117

= 1


So, Greatest Common Divisor of 370, 405, 369, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 405, 369, 117

Given numbers are 370, 405, 369, 117
The greatest common divisor of numbers 370, 405, 369, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 405, 369, 117 is 1.

FAQs on GCD of 370, 405, 369, 117 Calculator

1. What is the GCD of 370, 405, 369, 117?

GCD of given numbers 370, 405, 369, 117 is 1


2. How to calculate the greatest common divisor of 370, 405, 369, 117?

We can find the highest common divisor of 370, 405, 369, 117 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 370, 405, 369, 117 i.e 1.


3. How can I use the GCD of 370, 405, 369, 117Calculator?

Out the numbers 370, 405, 369, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.