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GCD of 800, 282, 908, 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 800, 282, 908, 835 quickly. Get the easiest ways to solve the greatest common divisor of 800, 282, 908, 835 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 282, 908, 835 with Factoring?

Given Input numbers are 800, 282, 908, 835

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

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 (800, 282, 908, 835) = 1.

Find GCD of 800, 282, 908, 835 using Prime Factorization

Given numbers are 800, 282, 908, 835

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 282 are 2 x 3 x 47

Prime factors of 908 are 2 x 2 x 227

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 800, 282, 908, 835 using LCM Formula

Given numbers are 800, 282, 908, 835

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

Apply this formula for all numbers.

Step1:

LCM(800, 282) = 112800

GCD(800, 282) = ( 800 x 282 ) / 112800

= 800 / 282

= 800


Step2:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2


Step3:

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

= 2 / 835

= 2


So, Greatest Common Divisor of 800, 282, 908, 835 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 282, 908, 835

Given numbers are 800, 282, 908, 835
The greatest common divisor of numbers 800, 282, 908, 835 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 282, 908, 835 is 1.

FAQs on GCD of 800, 282, 908, 835 Calculator

1. What is the GCD of 800, 282, 908, 835?

GCD of given numbers 800, 282, 908, 835 is 1


2. How to calculate the greatest common divisor of 800, 282, 908, 835?

We can find the highest common divisor of 800, 282, 908, 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 800, 282, 908, 835 i.e 1.


3. How can I use the GCD of 800, 282, 908, 835Calculator?

Out the numbers 800, 282, 908, 835 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.