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GCD of 723, 261, 358 Calculator

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


Online GCD Calculator is useful to find the GCD of 723, 261, 358 quickly. Get the easiest ways to solve the greatest common divisor of 723, 261, 358 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 723, 261, 358 with Factoring?

Given Input numbers are 723, 261, 358

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358


GCD of numbers is the greatest common divisor

So, the GCD (723, 261, 358) = 1.

Find GCD of 723, 261, 358 using Prime Factorization

Given numbers are 723, 261, 358

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 261 are 3 x 3 x 29

Prime factors of 358 are 2 x 179

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

Steps to Calculate GCD of 723, 261, 358 using LCM Formula

Given numbers are 723, 261, 358

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

Apply this formula for all numbers.

Step1:

LCM(723, 261) = 62901

GCD(723, 261) = ( 723 x 261 ) / 62901

= 723 / 261

= 723


Step2:

LCM(3, 358) = 1074

GCD(3, 358) = ( 3 x 358 ) / 1074

= 3 / 358

= 3


So, Greatest Common Divisor of 723, 261, 358 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 723, 261, 358

Given numbers are 723, 261, 358
The greatest common divisor of numbers 723, 261, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 261, 358 is 1.

FAQs on GCD of 723, 261, 358 Calculator

1. What is the GCD of 723, 261, 358?

GCD of given numbers 723, 261, 358 is 1


2. How to calculate the greatest common divisor of 723, 261, 358?

We can find the highest common divisor of 723, 261, 358 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 723, 261, 358 i.e 1.


3. How can I use the GCD of 723, 261, 358Calculator?

Out the numbers 723, 261, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.