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GCD of 864, 500, 695, 835 Calculator

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


Online GCD Calculator is useful to find the GCD of 864, 500, 695, 835 quickly. Get the easiest ways to solve the greatest common divisor of 864, 500, 695, 835 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 864, 500, 695, 835 with Factoring?

Given Input numbers are 864, 500, 695, 835

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835


GCD of numbers is the greatest common divisor

So, the GCD (864, 500, 695, 835) = 1.

Find GCD of 864, 500, 695, 835 using Prime Factorization

Given numbers are 864, 500, 695, 835

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 695 are 5 x 139

Prime factors of 835 are 5 x 167

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

Steps to Calculate GCD of 864, 500, 695, 835 using LCM Formula

Given numbers are 864, 500, 695, 835

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

Apply this formula for all numbers.

Step1:

LCM(864, 500) = 108000

GCD(864, 500) = ( 864 x 500 ) / 108000

= 864 / 500

= 864


Step2:

LCM(4, 695) = 2780

GCD(4, 695) = ( 4 x 695 ) / 2780

= 4 / 695

= 4


Step3:

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

= 1 / 835

= 1


So, Greatest Common Divisor of 864, 500, 695, 835 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 864, 500, 695, 835

Given numbers are 864, 500, 695, 835
The greatest common divisor of numbers 864, 500, 695, 835 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 500, 695, 835 is 1.

FAQs on GCD of 864, 500, 695, 835 Calculator

1. What is the GCD of 864, 500, 695, 835?

GCD of given numbers 864, 500, 695, 835 is 1


2. How to calculate the greatest common divisor of 864, 500, 695, 835?

We can find the highest common divisor of 864, 500, 695, 835 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 864, 500, 695, 835 i.e 1.


3. How can I use the GCD of 864, 500, 695, 835Calculator?

Out the numbers 864, 500, 695, 835 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.