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GCD of 802, 500, 973 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, 500, 973 quickly. Get the easiest ways to solve the greatest common divisor of 802, 500, 973 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 500, 973 with Factoring?

Given Input numbers are 802, 500, 973

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 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 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973


GCD of numbers is the greatest common divisor

So, the GCD (802, 500, 973) = 1.

Find GCD of 802, 500, 973 using Prime Factorization

Given numbers are 802, 500, 973

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

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

Prime factors of 973 are 7 x 139

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

Steps to Calculate GCD of 802, 500, 973 using LCM Formula

Given numbers are 802, 500, 973

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

Apply this formula for all numbers.

Step1:

LCM(802, 500) = 200500

GCD(802, 500) = ( 802 x 500 ) / 200500

= 802 / 500

= 802


Step2:

LCM(2, 973) = 1946

GCD(2, 973) = ( 2 x 973 ) / 1946

= 2 / 973

= 2


So, Greatest Common Divisor of 802, 500, 973 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 500, 973

Given numbers are 802, 500, 973
The greatest common divisor of numbers 802, 500, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 500, 973 is 1.

FAQs on GCD of 802, 500, 973 Calculator

1. What is the GCD of 802, 500, 973?

GCD of given numbers 802, 500, 973 is 1


2. How to calculate the greatest common divisor of 802, 500, 973?

We can find the highest common divisor of 802, 500, 973 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, 500, 973 i.e 1.


3. How can I use the GCD of 802, 500, 973Calculator?

Out the numbers 802, 500, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.