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GCD of 464, 679, 724 Calculator

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


Online GCD Calculator is useful to find the GCD of 464, 679, 724 quickly. Get the easiest ways to solve the greatest common divisor of 464, 679, 724 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 464, 679, 724 with Factoring?

Given Input numbers are 464, 679, 724

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

Divisors of 724 :

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

1, 2, 4, 181, 362, 724


GCD of numbers is the greatest common divisor

So, the GCD (464, 679, 724) = 1.

Find GCD of 464, 679, 724 using Prime Factorization

Given numbers are 464, 679, 724

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 679 are 7 x 97

Prime factors of 724 are 2 x 2 x 181

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

Steps to Calculate GCD of 464, 679, 724 using LCM Formula

Given numbers are 464, 679, 724

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

Apply this formula for all numbers.

Step1:

LCM(464, 679) = 315056

GCD(464, 679) = ( 464 x 679 ) / 315056

= 464 / 679

= 464


Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1


So, Greatest Common Divisor of 464, 679, 724 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 464, 679, 724

Given numbers are 464, 679, 724
The greatest common divisor of numbers 464, 679, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 679, 724 is 1.

FAQs on GCD of 464, 679, 724 Calculator

1. What is the GCD of 464, 679, 724?

GCD of given numbers 464, 679, 724 is 1


2. How to calculate the greatest common divisor of 464, 679, 724?

We can find the highest common divisor of 464, 679, 724 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 464, 679, 724 i.e 1.


3. How can I use the GCD of 464, 679, 724Calculator?

Out the numbers 464, 679, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.