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GCD of 137, 493, 517, 304 Calculator

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


Online GCD Calculator is useful to find the GCD of 137, 493, 517, 304 quickly. Get the easiest ways to solve the greatest common divisor of 137, 493, 517, 304 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 137, 493, 517, 304 with Factoring?

Given Input numbers are 137, 493, 517, 304

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304


GCD of numbers is the greatest common divisor

So, the GCD (137, 493, 517, 304) = 1.

Find GCD of 137, 493, 517, 304 using Prime Factorization

Given numbers are 137, 493, 517, 304

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 493 are 17 x 29

Prime factors of 517 are 11 x 47

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Steps to Calculate GCD of 137, 493, 517, 304 using LCM Formula

Given numbers are 137, 493, 517, 304

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

Apply this formula for all numbers.

Step1:

LCM(137, 493) = 67541

GCD(137, 493) = ( 137 x 493 ) / 67541

= 137 / 493

= 137


Step2:

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

= 1 / 517

= 1


Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1


So, Greatest Common Divisor of 137, 493, 517, 304 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 137, 493, 517, 304

Given numbers are 137, 493, 517, 304
The greatest common divisor of numbers 137, 493, 517, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 493, 517, 304 is 1.

FAQs on GCD of 137, 493, 517, 304 Calculator

1. What is the GCD of 137, 493, 517, 304?

GCD of given numbers 137, 493, 517, 304 is 1


2. How to calculate the greatest common divisor of 137, 493, 517, 304?

We can find the highest common divisor of 137, 493, 517, 304 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 137, 493, 517, 304 i.e 1.


3. How can I use the GCD of 137, 493, 517, 304Calculator?

Out the numbers 137, 493, 517, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.