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GCD of 309, 432, 397, 370 Calculator

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


Online GCD Calculator is useful to find the GCD of 309, 432, 397, 370 quickly. Get the easiest ways to solve the greatest common divisor of 309, 432, 397, 370 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 309, 432, 397, 370 with Factoring?

Given Input numbers are 309, 432, 397, 370

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 370 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (309, 432, 397, 370) = 1.

Find GCD of 309, 432, 397, 370 using Prime Factorization

Given numbers are 309, 432, 397, 370

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 397 are 397

Prime factors of 370 are 2 x 5 x 37

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

Steps to Calculate GCD of 309, 432, 397, 370 using LCM Formula

Given numbers are 309, 432, 397, 370

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

Apply this formula for all numbers.

Step1:

LCM(309, 432) = 44496

GCD(309, 432) = ( 309 x 432 ) / 44496

= 309 / 432

= 309


Step2:

LCM(3, 397) = 1191

GCD(3, 397) = ( 3 x 397 ) / 1191

= 3 / 397

= 3


Step3:

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

= 1 / 370

= 1


So, Greatest Common Divisor of 309, 432, 397, 370 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 309, 432, 397, 370

Given numbers are 309, 432, 397, 370
The greatest common divisor of numbers 309, 432, 397, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 432, 397, 370 is 1.

FAQs on GCD of 309, 432, 397, 370 Calculator

1. What is the GCD of 309, 432, 397, 370?

GCD of given numbers 309, 432, 397, 370 is 1


2. How to calculate the greatest common divisor of 309, 432, 397, 370?

We can find the highest common divisor of 309, 432, 397, 370 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 309, 432, 397, 370 i.e 1.


3. How can I use the GCD of 309, 432, 397, 370Calculator?

Out the numbers 309, 432, 397, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.