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GCD of 726, 609, 537, 908 Calculator

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


Online GCD Calculator is useful to find the GCD of 726, 609, 537, 908 quickly. Get the easiest ways to solve the greatest common divisor of 726, 609, 537, 908 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 726, 609, 537, 908 with Factoring?

Given Input numbers are 726, 609, 537, 908

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908


GCD of numbers is the greatest common divisor

So, the GCD (726, 609, 537, 908) = 1.

Find GCD of 726, 609, 537, 908 using Prime Factorization

Given numbers are 726, 609, 537, 908

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 609 are 3 x 7 x 29

Prime factors of 537 are 3 x 179

Prime factors of 908 are 2 x 2 x 227

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

Steps to Calculate GCD of 726, 609, 537, 908 using LCM Formula

Given numbers are 726, 609, 537, 908

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

Apply this formula for all numbers.

Step1:

LCM(726, 609) = 147378

GCD(726, 609) = ( 726 x 609 ) / 147378

= 726 / 609

= 726


Step2:

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

= 3 / 537

= 3


Step3:

LCM(3, 908) = 2724

GCD(3, 908) = ( 3 x 908 ) / 2724

= 3 / 908

= 3


So, Greatest Common Divisor of 726, 609, 537, 908 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 726, 609, 537, 908

Given numbers are 726, 609, 537, 908
The greatest common divisor of numbers 726, 609, 537, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 609, 537, 908 is 1.

FAQs on GCD of 726, 609, 537, 908 Calculator

1. What is the GCD of 726, 609, 537, 908?

GCD of given numbers 726, 609, 537, 908 is 1


2. How to calculate the greatest common divisor of 726, 609, 537, 908?

We can find the highest common divisor of 726, 609, 537, 908 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 726, 609, 537, 908 i.e 1.


3. How can I use the GCD of 726, 609, 537, 908Calculator?

Out the numbers 726, 609, 537, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.