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GCD of 508, 600, 609 Calculator

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


Online GCD Calculator is useful to find the GCD of 508, 600, 609 quickly. Get the easiest ways to solve the greatest common divisor of 508, 600, 609 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 508, 600, 609 with Factoring?

Given Input numbers are 508, 600, 609

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

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 609 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (508, 600, 609) = 1.

Find GCD of 508, 600, 609 using Prime Factorization

Given numbers are 508, 600, 609

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 609 are 3 x 7 x 29

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

Steps to Calculate GCD of 508, 600, 609 using LCM Formula

Given numbers are 508, 600, 609

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

Apply this formula for all numbers.

Step1:

LCM(508, 600) = 76200

GCD(508, 600) = ( 508 x 600 ) / 76200

= 508 / 600

= 508


Step2:

LCM(4, 609) = 2436

GCD(4, 609) = ( 4 x 609 ) / 2436

= 4 / 609

= 4


So, Greatest Common Divisor of 508, 600, 609 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 508, 600, 609

Given numbers are 508, 600, 609
The greatest common divisor of numbers 508, 600, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 600, 609 is 1.

FAQs on GCD of 508, 600, 609 Calculator

1. What is the GCD of 508, 600, 609?

GCD of given numbers 508, 600, 609 is 1


2. How to calculate the greatest common divisor of 508, 600, 609?

We can find the highest common divisor of 508, 600, 609 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 508, 600, 609 i.e 1.


3. How can I use the GCD of 508, 600, 609Calculator?

Out the numbers 508, 600, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.