Where do I get the detailed procedure to find GCD of 523, 723, 748?

You can find a detailed procedure to find GCD of 523, 723, 748 on our page.

How to find GCD of 523, 723, 748 on a calculator?

You can find the GCD of 523, 723, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 523, 723, 748 Calculator

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

Online GCD Calculator is useful to find the GCD of 523, 723, 748 quickly. Get the easiest ways to solve the greatest common divisor of 523, 723, 748 i.e 1 in different methods as follows.

How to Find GCD of Numbers 523, 723, 748 with Factoring?

Given Input numbers are 523, 723, 748

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

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (523, 723, 748) = 1.

Find GCD of 523, 723, 748 using Prime Factorization

Given numbers are 523, 723, 748

The list of prime factors of all numbers are

Prime factors of 523 are 523

Prime factors of 723 are 3 x 241

Prime factors of 748 are 2 x 2 x 11 x 17

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

Steps to Calculate GCD of 523, 723, 748 using LCM Formula

Given numbers are 523, 723, 748

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

Apply this formula for all numbers.

Step1:

LCM(523, 723) = 378129

GCD(523, 723) = ( 523 x 723 ) / 378129

= 523 / 723

= 523

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 523, 723, 748 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 523, 723, 748

Given numbers are 523, 723, 748
The greatest common divisor of numbers 523, 723, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 523, 723, 748 is 1.

FAQs on GCD of 523, 723, 748 Calculator

1. What is the GCD of 523, 723, 748?

GCD of given numbers 523, 723, 748 is 1

2. How to calculate the greatest common divisor of 523, 723, 748?

We can find the highest common divisor of 523, 723, 748 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 523, 723, 748 i.e 1.

3. How can I use the GCD of 523, 723, 748Calculator?

Out the numbers 523, 723, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.