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GCD of 724, 235, 187, 304 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, 235, 187, 304 quickly. Get the easiest ways to solve the greatest common divisor of 724, 235, 187, 304 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 235, 187, 304 with Factoring?

Given Input numbers are 724, 235, 187, 304

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 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304


GCD of numbers is the greatest common divisor

So, the GCD (724, 235, 187, 304) = 1.

Find GCD of 724, 235, 187, 304 using Prime Factorization

Given numbers are 724, 235, 187, 304

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 235 are 5 x 47

Prime factors of 187 are 11 x 17

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Steps to Calculate GCD of 724, 235, 187, 304 using LCM Formula

Given numbers are 724, 235, 187, 304

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

Apply this formula for all numbers.

Step1:

LCM(724, 235) = 170140

GCD(724, 235) = ( 724 x 235 ) / 170140

= 724 / 235

= 724


Step2:

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

= 1 / 187

= 1


Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1


So, Greatest Common Divisor of 724, 235, 187, 304 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 235, 187, 304

Given numbers are 724, 235, 187, 304
The greatest common divisor of numbers 724, 235, 187, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 235, 187, 304 is 1.

FAQs on GCD of 724, 235, 187, 304 Calculator

1. What is the GCD of 724, 235, 187, 304?

GCD of given numbers 724, 235, 187, 304 is 1


2. How to calculate the greatest common divisor of 724, 235, 187, 304?

We can find the highest common divisor of 724, 235, 187, 304 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, 235, 187, 304 i.e 1.


3. How can I use the GCD of 724, 235, 187, 304Calculator?

Out the numbers 724, 235, 187, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.