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GCD of 723, 538, 595, 133 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, 538, 595, 133 quickly. Get the easiest ways to solve the greatest common divisor of 723, 538, 595, 133 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 723, 538, 595, 133 with Factoring?

Given Input numbers are 723, 538, 595, 133

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133


GCD of numbers is the greatest common divisor

So, the GCD (723, 538, 595, 133) = 1.

Find GCD of 723, 538, 595, 133 using Prime Factorization

Given numbers are 723, 538, 595, 133

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 538 are 2 x 269

Prime factors of 595 are 5 x 7 x 17

Prime factors of 133 are 7 x 19

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

Steps to Calculate GCD of 723, 538, 595, 133 using LCM Formula

Given numbers are 723, 538, 595, 133

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

Apply this formula for all numbers.

Step1:

LCM(723, 538) = 388974

GCD(723, 538) = ( 723 x 538 ) / 388974

= 723 / 538

= 723


Step2:

LCM(1, 595) = 595

GCD(1, 595) = ( 1 x 595 ) / 595

= 1 / 595

= 1


Step3:

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

= 1 / 133

= 1


So, Greatest Common Divisor of 723, 538, 595, 133 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 723, 538, 595, 133

Given numbers are 723, 538, 595, 133
The greatest common divisor of numbers 723, 538, 595, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 538, 595, 133 is 1.

FAQs on GCD of 723, 538, 595, 133 Calculator

1. What is the GCD of 723, 538, 595, 133?

GCD of given numbers 723, 538, 595, 133 is 1


2. How to calculate the greatest common divisor of 723, 538, 595, 133?

We can find the highest common divisor of 723, 538, 595, 133 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, 538, 595, 133 i.e 1.


3. How can I use the GCD of 723, 538, 595, 133Calculator?

Out the numbers 723, 538, 595, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.