Where do I get the detailed procedure to find GCD of 721, 824, 874?

You can find a detailed procedure to find GCD of 721, 824, 874 on our page.

How to find GCD of 721, 824, 874 on a calculator?

You can find the GCD of 721, 824, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 721, 824, 874 Calculator

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

Online GCD Calculator is useful to find the GCD of 721, 824, 874 quickly. Get the easiest ways to solve the greatest common divisor of 721, 824, 874 i.e 1 in different methods as follows.

How to Find GCD of Numbers 721, 824, 874 with Factoring?

Given Input numbers are 721, 824, 874

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

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (721, 824, 874) = 1.

Find GCD of 721, 824, 874 using Prime Factorization

Given numbers are 721, 824, 874

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 874 are 2 x 19 x 23

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

Steps to Calculate GCD of 721, 824, 874 using LCM Formula

Given numbers are 721, 824, 874

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

Apply this formula for all numbers.

Step1:

LCM(721, 824) = 5768

GCD(721, 824) = ( 721 x 824 ) / 5768

= 721 / 824

= 721

Step2:

LCM(103, 874) = 90022

GCD(103, 874) = ( 103 x 874 ) / 90022

= 103 / 874

= 103

So, Greatest Common Divisor of 721, 824, 874 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 721, 824, 874

Given numbers are 721, 824, 874
The greatest common divisor of numbers 721, 824, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 824, 874 is 1.

FAQs on GCD of 721, 824, 874 Calculator

1. What is the GCD of 721, 824, 874?

GCD of given numbers 721, 824, 874 is 1

2. How to calculate the greatest common divisor of 721, 824, 874?

We can find the highest common divisor of 721, 824, 874 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 721, 824, 874 i.e 1.

3. How can I use the GCD of 721, 824, 874Calculator?

Out the numbers 721, 824, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.