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GCD of 800, 665, 515, 872 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 665, 515, 872 quickly. Get the easiest ways to solve the greatest common divisor of 800, 665, 515, 872 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 665, 515, 872 with Factoring?

Given Input numbers are 800, 665, 515, 872

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 515 :

The positive integer divisors of 515 that completely divides 515 are.

1, 5, 103, 515

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872


GCD of numbers is the greatest common divisor

So, the GCD (800, 665, 515, 872) = 1.

Find GCD of 800, 665, 515, 872 using Prime Factorization

Given numbers are 800, 665, 515, 872

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 665 are 5 x 7 x 19

Prime factors of 515 are 5 x 103

Prime factors of 872 are 2 x 2 x 2 x 109

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

Steps to Calculate GCD of 800, 665, 515, 872 using LCM Formula

Given numbers are 800, 665, 515, 872

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

Apply this formula for all numbers.

Step1:

LCM(800, 665) = 106400

GCD(800, 665) = ( 800 x 665 ) / 106400

= 800 / 665

= 800


Step2:

LCM(5, 515) = 515

GCD(5, 515) = ( 5 x 515 ) / 515

= 5 / 515

= 5


Step3:

LCM(5, 872) = 4360

GCD(5, 872) = ( 5 x 872 ) / 4360

= 5 / 872

= 5


So, Greatest Common Divisor of 800, 665, 515, 872 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 665, 515, 872

Given numbers are 800, 665, 515, 872
The greatest common divisor of numbers 800, 665, 515, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 665, 515, 872 is 1.

FAQs on GCD of 800, 665, 515, 872 Calculator

1. What is the GCD of 800, 665, 515, 872?

GCD of given numbers 800, 665, 515, 872 is 1


2. How to calculate the greatest common divisor of 800, 665, 515, 872?

We can find the highest common divisor of 800, 665, 515, 872 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 800, 665, 515, 872 i.e 1.


3. How can I use the GCD of 800, 665, 515, 872Calculator?

Out the numbers 800, 665, 515, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.