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GCD of 574, 508, 723, 132 Calculator

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


Online GCD Calculator is useful to find the GCD of 574, 508, 723, 132 quickly. Get the easiest ways to solve the greatest common divisor of 574, 508, 723, 132 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 574, 508, 723, 132 with Factoring?

Given Input numbers are 574, 508, 723, 132

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

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132


GCD of numbers is the greatest common divisor

So, the GCD (574, 508, 723, 132) = 1.

Find GCD of 574, 508, 723, 132 using Prime Factorization

Given numbers are 574, 508, 723, 132

The list of prime factors of all numbers are

Prime factors of 574 are 2 x 7 x 41

Prime factors of 508 are 2 x 2 x 127

Prime factors of 723 are 3 x 241

Prime factors of 132 are 2 x 2 x 3 x 11

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

Steps to Calculate GCD of 574, 508, 723, 132 using LCM Formula

Given numbers are 574, 508, 723, 132

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

Apply this formula for all numbers.

Step1:

LCM(574, 508) = 145796

GCD(574, 508) = ( 574 x 508 ) / 145796

= 574 / 508

= 574


Step2:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2


Step3:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1


So, Greatest Common Divisor of 574, 508, 723, 132 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 574, 508, 723, 132

Given numbers are 574, 508, 723, 132
The greatest common divisor of numbers 574, 508, 723, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 508, 723, 132 is 1.

FAQs on GCD of 574, 508, 723, 132 Calculator

1. What is the GCD of 574, 508, 723, 132?

GCD of given numbers 574, 508, 723, 132 is 1


2. How to calculate the greatest common divisor of 574, 508, 723, 132?

We can find the highest common divisor of 574, 508, 723, 132 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 574, 508, 723, 132 i.e 1.


3. How can I use the GCD of 574, 508, 723, 132Calculator?

Out the numbers 574, 508, 723, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.