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GCD of 724, 118, 403, 804 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, 118, 403, 804 quickly. Get the easiest ways to solve the greatest common divisor of 724, 118, 403, 804 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 118, 403, 804 with Factoring?

Given Input numbers are 724, 118, 403, 804

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 403 :

The positive integer divisors of 403 that completely divides 403 are.

1, 13, 31, 403

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


GCD of numbers is the greatest common divisor

So, the GCD (724, 118, 403, 804) = 1.

Find GCD of 724, 118, 403, 804 using Prime Factorization

Given numbers are 724, 118, 403, 804

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 118 are 2 x 59

Prime factors of 403 are 13 x 31

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

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

Steps to Calculate GCD of 724, 118, 403, 804 using LCM Formula

Given numbers are 724, 118, 403, 804

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

Apply this formula for all numbers.

Step1:

LCM(724, 118) = 42716

GCD(724, 118) = ( 724 x 118 ) / 42716

= 724 / 118

= 724


Step2:

LCM(2, 403) = 806

GCD(2, 403) = ( 2 x 403 ) / 806

= 2 / 403

= 2


Step3:

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

= 1 / 804

= 1


So, Greatest Common Divisor of 724, 118, 403, 804 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 118, 403, 804

Given numbers are 724, 118, 403, 804
The greatest common divisor of numbers 724, 118, 403, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 118, 403, 804 is 1.

FAQs on GCD of 724, 118, 403, 804 Calculator

1. What is the GCD of 724, 118, 403, 804?

GCD of given numbers 724, 118, 403, 804 is 1


2. How to calculate the greatest common divisor of 724, 118, 403, 804?

We can find the highest common divisor of 724, 118, 403, 804 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, 118, 403, 804 i.e 1.


3. How can I use the GCD of 724, 118, 403, 804Calculator?

Out the numbers 724, 118, 403, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.