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GCD of 724, 800, 622 Calculator

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


Online GCD Calculator is useful to find the GCD of 724, 800, 622 quickly. Get the easiest ways to solve the greatest common divisor of 724, 800, 622 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 800, 622 with Factoring?

Given Input numbers are 724, 800, 622

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622


GCD of numbers is the greatest common divisor

So, the GCD (724, 800, 622) = 2.

Find GCD of 724, 800, 622 using Prime Factorization

Given numbers are 724, 800, 622

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 622 are 2 x 311

The highest common occurrence is 21

Therefore, GCD of 724, 800, 622 is 2.

Steps to Calculate GCD of 724, 800, 622 using LCM Formula

Given numbers are 724, 800, 622

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

Apply this formula for all numbers.

Step1:

LCM(724, 800) = 144800

GCD(724, 800) = ( 724 x 800 ) / 144800

= 724 / 800

= 724


Step2:

LCM(4, 622) = 1244

GCD(4, 622) = ( 4 x 622 ) / 1244

= 4 / 622

= 4


So, Greatest Common Divisor of 724, 800, 622 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 800, 622

Given numbers are 724, 800, 622
The greatest common divisor of numbers 724, 800, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 800, 622 is 2.

FAQs on GCD of 724, 800, 622 Calculator

1. What is the GCD of 724, 800, 622?

GCD of given numbers 724, 800, 622 is 2


2. How to calculate the greatest common divisor of 724, 800, 622?

We can find the highest common divisor of 724, 800, 622 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 724, 800, 622 i.e 2.


3. How can I use the GCD of 724, 800, 622Calculator?

Out the numbers 724, 800, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.