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GCD of 804, 500, 689 Calculator

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

Online GCD Calculator is useful to find the GCD of 804, 500, 689 quickly. Get the easiest ways to solve the greatest common divisor of 804, 500, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 804, 500, 689 with Factoring?

Given Input numbers are 804, 500, 689

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689


GCD of numbers is the greatest common divisor

So, the GCD (804, 500, 689) = 1.

Find GCD of 804, 500, 689 using Prime Factorization

Given numbers are 804, 500, 689

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 689 are 13 x 53

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

Steps to Calculate GCD of 804, 500, 689 using LCM Formula

Given numbers are 804, 500, 689

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

Apply this formula for all numbers.

Step1:

LCM(804, 500) = 100500

GCD(804, 500) = ( 804 x 500 ) / 100500

= 804 / 500

= 804

Step2:

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

= 4 / 689

= 4


So, Greatest Common Divisor of 804, 500, 689 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 804, 500, 689

Given numbers are 804, 500, 689
The greatest common divisor of numbers 804, 500, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 500, 689 is 1.

FAQs on GCD of 804, 500, 689 Calculator

1. What is the GCD of 804, 500, 689?

GCD of given numbers 804, 500, 689 is 1

2. How to calculate the greatest common divisor of 804, 500, 689?

We can find the highest common divisor of 804, 500, 689 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 804, 500, 689 i.e 1.

3. How can I use the GCD of 804, 500, 689Calculator?

Out the numbers 804, 500, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.