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GCD of 800, 814, 39 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, 814, 39 quickly. Get the easiest ways to solve the greatest common divisor of 800, 814, 39 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 814, 39 with Factoring?

Given Input numbers are 800, 814, 39

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39


GCD of numbers is the greatest common divisor

So, the GCD (800, 814, 39) = 1.

Find GCD of 800, 814, 39 using Prime Factorization

Given numbers are 800, 814, 39

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 814 are 2 x 11 x 37

Prime factors of 39 are 3 x 13

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

Steps to Calculate GCD of 800, 814, 39 using LCM Formula

Given numbers are 800, 814, 39

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

Apply this formula for all numbers.

Step1:

LCM(800, 814) = 325600

GCD(800, 814) = ( 800 x 814 ) / 325600

= 800 / 814

= 800


Step2:

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

= 2 / 39

= 2


So, Greatest Common Divisor of 800, 814, 39 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 814, 39

Given numbers are 800, 814, 39
The greatest common divisor of numbers 800, 814, 39 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 814, 39 is 1.

FAQs on GCD of 800, 814, 39 Calculator

1. What is the GCD of 800, 814, 39?

GCD of given numbers 800, 814, 39 is 1


2. How to calculate the greatest common divisor of 800, 814, 39?

We can find the highest common divisor of 800, 814, 39 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, 814, 39 i.e 1.


3. How can I use the GCD of 800, 814, 39Calculator?

Out the numbers 800, 814, 39 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.