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GCD of 504, 590, 712, 771 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, 590, 712, 771 quickly. Get the easiest ways to solve the greatest common divisor of 504, 590, 712, 771 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 504, 590, 712, 771 with Factoring?

Given Input numbers are 504, 590, 712, 771

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 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771


GCD of numbers is the greatest common divisor

So, the GCD (504, 590, 712, 771) = 1.

Find GCD of 504, 590, 712, 771 using Prime Factorization

Given numbers are 504, 590, 712, 771

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 590 are 2 x 5 x 59

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 771 are 3 x 257

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

Steps to Calculate GCD of 504, 590, 712, 771 using LCM Formula

Given numbers are 504, 590, 712, 771

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

Apply this formula for all numbers.

Step1:

LCM(504, 590) = 148680

GCD(504, 590) = ( 504 x 590 ) / 148680

= 504 / 590

= 504


Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2


Step3:

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

= 2 / 771

= 2


So, Greatest Common Divisor of 504, 590, 712, 771 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 504, 590, 712, 771

Given numbers are 504, 590, 712, 771
The greatest common divisor of numbers 504, 590, 712, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 590, 712, 771 is 1.

FAQs on GCD of 504, 590, 712, 771 Calculator

1. What is the GCD of 504, 590, 712, 771?

GCD of given numbers 504, 590, 712, 771 is 1


2. How to calculate the greatest common divisor of 504, 590, 712, 771?

We can find the highest common divisor of 504, 590, 712, 771 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, 590, 712, 771 i.e 1.


3. How can I use the GCD of 504, 590, 712, 771Calculator?

Out the numbers 504, 590, 712, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.