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GCD of 504, 460, 731, 868 Calculator

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


Online GCD Calculator is useful to find the GCD of 504, 460, 731, 868 quickly. Get the easiest ways to solve the greatest common divisor of 504, 460, 731, 868 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 504, 460, 731, 868 with Factoring?

Given Input numbers are 504, 460, 731, 868

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868


GCD of numbers is the greatest common divisor

So, the GCD (504, 460, 731, 868) = 1.

Find GCD of 504, 460, 731, 868 using Prime Factorization

Given numbers are 504, 460, 731, 868

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 731 are 17 x 43

Prime factors of 868 are 2 x 2 x 7 x 31

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

Steps to Calculate GCD of 504, 460, 731, 868 using LCM Formula

Given numbers are 504, 460, 731, 868

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

Apply this formula for all numbers.

Step1:

LCM(504, 460) = 57960

GCD(504, 460) = ( 504 x 460 ) / 57960

= 504 / 460

= 504


Step2:

LCM(4, 731) = 2924

GCD(4, 731) = ( 4 x 731 ) / 2924

= 4 / 731

= 4


Step3:

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

= 1 / 868

= 1


So, Greatest Common Divisor of 504, 460, 731, 868 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 504, 460, 731, 868

Given numbers are 504, 460, 731, 868
The greatest common divisor of numbers 504, 460, 731, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 460, 731, 868 is 1.

FAQs on GCD of 504, 460, 731, 868 Calculator

1. What is the GCD of 504, 460, 731, 868?

GCD of given numbers 504, 460, 731, 868 is 1


2. How to calculate the greatest common divisor of 504, 460, 731, 868?

We can find the highest common divisor of 504, 460, 731, 868 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 504, 460, 731, 868 i.e 1.


3. How can I use the GCD of 504, 460, 731, 868Calculator?

Out the numbers 504, 460, 731, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.