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GCD of 342, 309, 503, 367 Calculator

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


Online GCD Calculator is useful to find the GCD of 342, 309, 503, 367 quickly. Get the easiest ways to solve the greatest common divisor of 342, 309, 503, 367 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 309, 503, 367 with Factoring?

Given Input numbers are 342, 309, 503, 367

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 503 :

The positive integer divisors of 503 that completely divides 503 are.

1, 503

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367


GCD of numbers is the greatest common divisor

So, the GCD (342, 309, 503, 367) = 1.

Find GCD of 342, 309, 503, 367 using Prime Factorization

Given numbers are 342, 309, 503, 367

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 309 are 3 x 103

Prime factors of 503 are 503

Prime factors of 367 are 367

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

Steps to Calculate GCD of 342, 309, 503, 367 using LCM Formula

Given numbers are 342, 309, 503, 367

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

Apply this formula for all numbers.

Step1:

LCM(342, 309) = 35226

GCD(342, 309) = ( 342 x 309 ) / 35226

= 342 / 309

= 342


Step2:

LCM(3, 503) = 1509

GCD(3, 503) = ( 3 x 503 ) / 1509

= 3 / 503

= 3


Step3:

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

= 1 / 367

= 1


So, Greatest Common Divisor of 342, 309, 503, 367 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 309, 503, 367

Given numbers are 342, 309, 503, 367
The greatest common divisor of numbers 342, 309, 503, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 309, 503, 367 is 1.

FAQs on GCD of 342, 309, 503, 367 Calculator

1. What is the GCD of 342, 309, 503, 367?

GCD of given numbers 342, 309, 503, 367 is 1


2. How to calculate the greatest common divisor of 342, 309, 503, 367?

We can find the highest common divisor of 342, 309, 503, 367 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 342, 309, 503, 367 i.e 1.


3. How can I use the GCD of 342, 309, 503, 367Calculator?

Out the numbers 342, 309, 503, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.