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GCD of 680, 231, 89 Calculator

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


Online GCD Calculator is useful to find the GCD of 680, 231, 89 quickly. Get the easiest ways to solve the greatest common divisor of 680, 231, 89 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 680, 231, 89 with Factoring?

Given Input numbers are 680, 231, 89

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 89 :

The positive integer divisors of 89 that completely divides 89 are.

1, 89


GCD of numbers is the greatest common divisor

So, the GCD (680, 231, 89) = 1.

Find GCD of 680, 231, 89 using Prime Factorization

Given numbers are 680, 231, 89

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 231 are 3 x 7 x 11

Prime factors of 89 are 89

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

Steps to Calculate GCD of 680, 231, 89 using LCM Formula

Given numbers are 680, 231, 89

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

Apply this formula for all numbers.

Step1:

LCM(680, 231) = 157080

GCD(680, 231) = ( 680 x 231 ) / 157080

= 680 / 231

= 680


Step2:

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

= 1 / 89

= 1


So, Greatest Common Divisor of 680, 231, 89 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 680, 231, 89

Given numbers are 680, 231, 89
The greatest common divisor of numbers 680, 231, 89 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 231, 89 is 1.

FAQs on GCD of 680, 231, 89 Calculator

1. What is the GCD of 680, 231, 89?

GCD of given numbers 680, 231, 89 is 1


2. How to calculate the greatest common divisor of 680, 231, 89?

We can find the highest common divisor of 680, 231, 89 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 680, 231, 89 i.e 1.


3. How can I use the GCD of 680, 231, 89Calculator?

Out the numbers 680, 231, 89 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.