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GCD of 289, 671, 596, 331 Calculator

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


Online GCD Calculator is useful to find the GCD of 289, 671, 596, 331 quickly. Get the easiest ways to solve the greatest common divisor of 289, 671, 596, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 289, 671, 596, 331 with Factoring?

Given Input numbers are 289, 671, 596, 331

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331


GCD of numbers is the greatest common divisor

So, the GCD (289, 671, 596, 331) = 1.

Find GCD of 289, 671, 596, 331 using Prime Factorization

Given numbers are 289, 671, 596, 331

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 671 are 11 x 61

Prime factors of 596 are 2 x 2 x 149

Prime factors of 331 are 331

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

Steps to Calculate GCD of 289, 671, 596, 331 using LCM Formula

Given numbers are 289, 671, 596, 331

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

Apply this formula for all numbers.

Step1:

LCM(289, 671) = 193919

GCD(289, 671) = ( 289 x 671 ) / 193919

= 289 / 671

= 289


Step2:

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

= 1 / 596

= 1


Step3:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1


So, Greatest Common Divisor of 289, 671, 596, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 289, 671, 596, 331

Given numbers are 289, 671, 596, 331
The greatest common divisor of numbers 289, 671, 596, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 671, 596, 331 is 1.

FAQs on GCD of 289, 671, 596, 331 Calculator

1. What is the GCD of 289, 671, 596, 331?

GCD of given numbers 289, 671, 596, 331 is 1


2. How to calculate the greatest common divisor of 289, 671, 596, 331?

We can find the highest common divisor of 289, 671, 596, 331 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 289, 671, 596, 331 i.e 1.


3. How can I use the GCD of 289, 671, 596, 331Calculator?

Out the numbers 289, 671, 596, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.