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GCD of 711, 114, 664, 317 Calculator

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


Online GCD Calculator is useful to find the GCD of 711, 114, 664, 317 quickly. Get the easiest ways to solve the greatest common divisor of 711, 114, 664, 317 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 711, 114, 664, 317 with Factoring?

Given Input numbers are 711, 114, 664, 317

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

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 317 :

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

1, 317


GCD of numbers is the greatest common divisor

So, the GCD (711, 114, 664, 317) = 1.

Find GCD of 711, 114, 664, 317 using Prime Factorization

Given numbers are 711, 114, 664, 317

The list of prime factors of all numbers are

Prime factors of 711 are 3 x 3 x 79

Prime factors of 114 are 2 x 3 x 19

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 317 are 317

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

Steps to Calculate GCD of 711, 114, 664, 317 using LCM Formula

Given numbers are 711, 114, 664, 317

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

Apply this formula for all numbers.

Step1:

LCM(711, 114) = 27018

GCD(711, 114) = ( 711 x 114 ) / 27018

= 711 / 114

= 711


Step2:

LCM(3, 664) = 1992

GCD(3, 664) = ( 3 x 664 ) / 1992

= 3 / 664

= 3


Step3:

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

= 1 / 317

= 1


So, Greatest Common Divisor of 711, 114, 664, 317 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 711, 114, 664, 317

Given numbers are 711, 114, 664, 317
The greatest common divisor of numbers 711, 114, 664, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 114, 664, 317 is 1.

FAQs on GCD of 711, 114, 664, 317 Calculator

1. What is the GCD of 711, 114, 664, 317?

GCD of given numbers 711, 114, 664, 317 is 1


2. How to calculate the greatest common divisor of 711, 114, 664, 317?

We can find the highest common divisor of 711, 114, 664, 317 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 711, 114, 664, 317 i.e 1.


3. How can I use the GCD of 711, 114, 664, 317Calculator?

Out the numbers 711, 114, 664, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.