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GCD of 506, 631, 629, 600 Calculator

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


Online GCD Calculator is useful to find the GCD of 506, 631, 629, 600 quickly. Get the easiest ways to solve the greatest common divisor of 506, 631, 629, 600 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 506, 631, 629, 600 with Factoring?

Given Input numbers are 506, 631, 629, 600

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 631 :

The positive integer divisors of 631 that completely divides 631 are.

1, 631

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

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


GCD of numbers is the greatest common divisor

So, the GCD (506, 631, 629, 600) = 1.

Find GCD of 506, 631, 629, 600 using Prime Factorization

Given numbers are 506, 631, 629, 600

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 631 are 631

Prime factors of 629 are 17 x 37

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

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

Steps to Calculate GCD of 506, 631, 629, 600 using LCM Formula

Given numbers are 506, 631, 629, 600

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

Apply this formula for all numbers.

Step1:

LCM(506, 631) = 319286

GCD(506, 631) = ( 506 x 631 ) / 319286

= 506 / 631

= 506


Step2:

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

= 1 / 629

= 1


Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1


So, Greatest Common Divisor of 506, 631, 629, 600 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 506, 631, 629, 600

Given numbers are 506, 631, 629, 600
The greatest common divisor of numbers 506, 631, 629, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 631, 629, 600 is 1.

FAQs on GCD of 506, 631, 629, 600 Calculator

1. What is the GCD of 506, 631, 629, 600?

GCD of given numbers 506, 631, 629, 600 is 1


2. How to calculate the greatest common divisor of 506, 631, 629, 600?

We can find the highest common divisor of 506, 631, 629, 600 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 506, 631, 629, 600 i.e 1.


3. How can I use the GCD of 506, 631, 629, 600Calculator?

Out the numbers 506, 631, 629, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.