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GCD of 317, 272, 761, 491 Calculator

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


Online GCD Calculator is useful to find the GCD of 317, 272, 761, 491 quickly. Get the easiest ways to solve the greatest common divisor of 317, 272, 761, 491 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 317, 272, 761, 491 with Factoring?

Given Input numbers are 317, 272, 761, 491

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

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491


GCD of numbers is the greatest common divisor

So, the GCD (317, 272, 761, 491) = 1.

Find GCD of 317, 272, 761, 491 using Prime Factorization

Given numbers are 317, 272, 761, 491

The list of prime factors of all numbers are

Prime factors of 317 are 317

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 761 are 761

Prime factors of 491 are 491

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

Steps to Calculate GCD of 317, 272, 761, 491 using LCM Formula

Given numbers are 317, 272, 761, 491

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

Apply this formula for all numbers.

Step1:

LCM(317, 272) = 86224

GCD(317, 272) = ( 317 x 272 ) / 86224

= 317 / 272

= 317


Step2:

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

= 1 / 761

= 1


Step3:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1


So, Greatest Common Divisor of 317, 272, 761, 491 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 317, 272, 761, 491

Given numbers are 317, 272, 761, 491
The greatest common divisor of numbers 317, 272, 761, 491 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 272, 761, 491 is 1.

FAQs on GCD of 317, 272, 761, 491 Calculator

1. What is the GCD of 317, 272, 761, 491?

GCD of given numbers 317, 272, 761, 491 is 1


2. How to calculate the greatest common divisor of 317, 272, 761, 491?

We can find the highest common divisor of 317, 272, 761, 491 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 317, 272, 761, 491 i.e 1.


3. How can I use the GCD of 317, 272, 761, 491Calculator?

Out the numbers 317, 272, 761, 491 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.