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GCD of 802, 810, 900 Calculator

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


Online GCD Calculator is useful to find the GCD of 802, 810, 900 quickly. Get the easiest ways to solve the greatest common divisor of 802, 810, 900 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 810, 900 with Factoring?

Given Input numbers are 802, 810, 900

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900


GCD of numbers is the greatest common divisor

So, the GCD (802, 810, 900) = 2.

Find GCD of 802, 810, 900 using Prime Factorization

Given numbers are 802, 810, 900

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 21

Therefore, GCD of 802, 810, 900 is 2.

Steps to Calculate GCD of 802, 810, 900 using LCM Formula

Given numbers are 802, 810, 900

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

Apply this formula for all numbers.

Step1:

LCM(802, 810) = 324810

GCD(802, 810) = ( 802 x 810 ) / 324810

= 802 / 810

= 802


Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2


So, Greatest Common Divisor of 802, 810, 900 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 810, 900

Given numbers are 802, 810, 900
The greatest common divisor of numbers 802, 810, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 810, 900 is 2.

FAQs on GCD of 802, 810, 900 Calculator

1. What is the GCD of 802, 810, 900?

GCD of given numbers 802, 810, 900 is 2


2. How to calculate the greatest common divisor of 802, 810, 900?

We can find the highest common divisor of 802, 810, 900 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 802, 810, 900 i.e 2.


3. How can I use the GCD of 802, 810, 900Calculator?

Out the numbers 802, 810, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.