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GCD of 504, 777, 461, 516 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, 777, 461, 516 quickly. Get the easiest ways to solve the greatest common divisor of 504, 777, 461, 516 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 504, 777, 461, 516 with Factoring?

Given Input numbers are 504, 777, 461, 516

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 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516


GCD of numbers is the greatest common divisor

So, the GCD (504, 777, 461, 516) = 1.

Find GCD of 504, 777, 461, 516 using Prime Factorization

Given numbers are 504, 777, 461, 516

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 777 are 3 x 7 x 37

Prime factors of 461 are 461

Prime factors of 516 are 2 x 2 x 3 x 43

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

Steps to Calculate GCD of 504, 777, 461, 516 using LCM Formula

Given numbers are 504, 777, 461, 516

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

Apply this formula for all numbers.

Step1:

LCM(504, 777) = 18648

GCD(504, 777) = ( 504 x 777 ) / 18648

= 504 / 777

= 504


Step2:

LCM(21, 461) = 9681

GCD(21, 461) = ( 21 x 461 ) / 9681

= 21 / 461

= 21


Step3:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1


So, Greatest Common Divisor of 504, 777, 461, 516 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 504, 777, 461, 516

Given numbers are 504, 777, 461, 516
The greatest common divisor of numbers 504, 777, 461, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 777, 461, 516 is 1.

FAQs on GCD of 504, 777, 461, 516 Calculator

1. What is the GCD of 504, 777, 461, 516?

GCD of given numbers 504, 777, 461, 516 is 1


2. How to calculate the greatest common divisor of 504, 777, 461, 516?

We can find the highest common divisor of 504, 777, 461, 516 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, 777, 461, 516 i.e 1.


3. How can I use the GCD of 504, 777, 461, 516Calculator?

Out the numbers 504, 777, 461, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.