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GCD of 724, 721, 487, 408 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, 721, 487, 408 quickly. Get the easiest ways to solve the greatest common divisor of 724, 721, 487, 408 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 721, 487, 408 with Factoring?

Given Input numbers are 724, 721, 487, 408

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 721 :

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

1, 7, 103, 721

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408


GCD of numbers is the greatest common divisor

So, the GCD (724, 721, 487, 408) = 1.

Find GCD of 724, 721, 487, 408 using Prime Factorization

Given numbers are 724, 721, 487, 408

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 721 are 7 x 103

Prime factors of 487 are 487

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Steps to Calculate GCD of 724, 721, 487, 408 using LCM Formula

Given numbers are 724, 721, 487, 408

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

Apply this formula for all numbers.

Step1:

LCM(724, 721) = 522004

GCD(724, 721) = ( 724 x 721 ) / 522004

= 724 / 721

= 724


Step2:

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

= 1 / 487

= 1


Step3:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1


So, Greatest Common Divisor of 724, 721, 487, 408 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 721, 487, 408

Given numbers are 724, 721, 487, 408
The greatest common divisor of numbers 724, 721, 487, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 721, 487, 408 is 1.

FAQs on GCD of 724, 721, 487, 408 Calculator

1. What is the GCD of 724, 721, 487, 408?

GCD of given numbers 724, 721, 487, 408 is 1


2. How to calculate the greatest common divisor of 724, 721, 487, 408?

We can find the highest common divisor of 724, 721, 487, 408 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, 721, 487, 408 i.e 1.


3. How can I use the GCD of 724, 721, 487, 408Calculator?

Out the numbers 724, 721, 487, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.