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GCD of 804, 454, 725, 224 Calculator

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


Online GCD Calculator is useful to find the GCD of 804, 454, 725, 224 quickly. Get the easiest ways to solve the greatest common divisor of 804, 454, 725, 224 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 804, 454, 725, 224 with Factoring?

Given Input numbers are 804, 454, 725, 224

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224


GCD of numbers is the greatest common divisor

So, the GCD (804, 454, 725, 224) = 1.

Find GCD of 804, 454, 725, 224 using Prime Factorization

Given numbers are 804, 454, 725, 224

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 454 are 2 x 227

Prime factors of 725 are 5 x 5 x 29

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 804, 454, 725, 224 using LCM Formula

Given numbers are 804, 454, 725, 224

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

Apply this formula for all numbers.

Step1:

LCM(804, 454) = 182508

GCD(804, 454) = ( 804 x 454 ) / 182508

= 804 / 454

= 804


Step2:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2


Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1


So, Greatest Common Divisor of 804, 454, 725, 224 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 804, 454, 725, 224

Given numbers are 804, 454, 725, 224
The greatest common divisor of numbers 804, 454, 725, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 454, 725, 224 is 1.

FAQs on GCD of 804, 454, 725, 224 Calculator

1. What is the GCD of 804, 454, 725, 224?

GCD of given numbers 804, 454, 725, 224 is 1


2. How to calculate the greatest common divisor of 804, 454, 725, 224?

We can find the highest common divisor of 804, 454, 725, 224 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 804, 454, 725, 224 i.e 1.


3. How can I use the GCD of 804, 454, 725, 224Calculator?

Out the numbers 804, 454, 725, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.