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GCD of 316, 507, 493, 361 Calculator

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


Online GCD Calculator is useful to find the GCD of 316, 507, 493, 361 quickly. Get the easiest ways to solve the greatest common divisor of 316, 507, 493, 361 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 316, 507, 493, 361 with Factoring?

Given Input numbers are 316, 507, 493, 361

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361


GCD of numbers is the greatest common divisor

So, the GCD (316, 507, 493, 361) = 1.

Find GCD of 316, 507, 493, 361 using Prime Factorization

Given numbers are 316, 507, 493, 361

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 507 are 3 x 13 x 13

Prime factors of 493 are 17 x 29

Prime factors of 361 are 19 x 19

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

Steps to Calculate GCD of 316, 507, 493, 361 using LCM Formula

Given numbers are 316, 507, 493, 361

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

Apply this formula for all numbers.

Step1:

LCM(316, 507) = 160212

GCD(316, 507) = ( 316 x 507 ) / 160212

= 316 / 507

= 316


Step2:

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

= 1 / 493

= 1


Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1


So, Greatest Common Divisor of 316, 507, 493, 361 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 316, 507, 493, 361

Given numbers are 316, 507, 493, 361
The greatest common divisor of numbers 316, 507, 493, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 507, 493, 361 is 1.

FAQs on GCD of 316, 507, 493, 361 Calculator

1. What is the GCD of 316, 507, 493, 361?

GCD of given numbers 316, 507, 493, 361 is 1


2. How to calculate the greatest common divisor of 316, 507, 493, 361?

We can find the highest common divisor of 316, 507, 493, 361 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 316, 507, 493, 361 i.e 1.


3. How can I use the GCD of 316, 507, 493, 361Calculator?

Out the numbers 316, 507, 493, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.