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GCD of 708, 589, 380 Calculator

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


Online GCD Calculator is useful to find the GCD of 708, 589, 380 quickly. Get the easiest ways to solve the greatest common divisor of 708, 589, 380 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 708, 589, 380 with Factoring?

Given Input numbers are 708, 589, 380

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380


GCD of numbers is the greatest common divisor

So, the GCD (708, 589, 380) = 1.

Find GCD of 708, 589, 380 using Prime Factorization

Given numbers are 708, 589, 380

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 589 are 19 x 31

Prime factors of 380 are 2 x 2 x 5 x 19

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

Steps to Calculate GCD of 708, 589, 380 using LCM Formula

Given numbers are 708, 589, 380

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

Apply this formula for all numbers.

Step1:

LCM(708, 589) = 417012

GCD(708, 589) = ( 708 x 589 ) / 417012

= 708 / 589

= 708


Step2:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1


So, Greatest Common Divisor of 708, 589, 380 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 708, 589, 380

Given numbers are 708, 589, 380
The greatest common divisor of numbers 708, 589, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 589, 380 is 1.

FAQs on GCD of 708, 589, 380 Calculator

1. What is the GCD of 708, 589, 380?

GCD of given numbers 708, 589, 380 is 1


2. How to calculate the greatest common divisor of 708, 589, 380?

We can find the highest common divisor of 708, 589, 380 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 708, 589, 380 i.e 1.


3. How can I use the GCD of 708, 589, 380Calculator?

Out the numbers 708, 589, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.