Where do I get the detailed procedure to find GCD of 380, 489, 667?

You can find a detailed procedure to find GCD of 380, 489, 667 on our page.

How to find GCD of 380, 489, 667 on a calculator?

You can find the GCD of 380, 489, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 380, 489, 667 Calculator

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

Online GCD Calculator is useful to find the GCD of 380, 489, 667 quickly. Get the easiest ways to solve the greatest common divisor of 380, 489, 667 i.e 1 in different methods as follows.

How to Find GCD of Numbers 380, 489, 667 with Factoring?

Given Input numbers are 380, 489, 667

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

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

GCD of numbers is the greatest common divisor

So, the GCD (380, 489, 667) = 1.

Find GCD of 380, 489, 667 using Prime Factorization

Given numbers are 380, 489, 667

The list of prime factors of all numbers are

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

Prime factors of 489 are 3 x 163

Prime factors of 667 are 23 x 29

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

Steps to Calculate GCD of 380, 489, 667 using LCM Formula

Given numbers are 380, 489, 667

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

Apply this formula for all numbers.

Step1:

LCM(380, 489) = 185820

GCD(380, 489) = ( 380 x 489 ) / 185820

= 380 / 489

= 380

Step2:

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

= 1 / 667

= 1

So, Greatest Common Divisor of 380, 489, 667 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 380, 489, 667

Given numbers are 380, 489, 667
The greatest common divisor of numbers 380, 489, 667 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 489, 667 is 1.

FAQs on GCD of 380, 489, 667 Calculator

1. What is the GCD of 380, 489, 667?

GCD of given numbers 380, 489, 667 is 1

2. How to calculate the greatest common divisor of 380, 489, 667?

We can find the highest common divisor of 380, 489, 667 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 380, 489, 667 i.e 1.

3. How can I use the GCD of 380, 489, 667Calculator?

Out the numbers 380, 489, 667 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.