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GCD of 856, 664, 723, 513 Calculator

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


Online GCD Calculator is useful to find the GCD of 856, 664, 723, 513 quickly. Get the easiest ways to solve the greatest common divisor of 856, 664, 723, 513 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 856, 664, 723, 513 with Factoring?

Given Input numbers are 856, 664, 723, 513

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513


GCD of numbers is the greatest common divisor

So, the GCD (856, 664, 723, 513) = 1.

Find GCD of 856, 664, 723, 513 using Prime Factorization

Given numbers are 856, 664, 723, 513

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 723 are 3 x 241

Prime factors of 513 are 3 x 3 x 3 x 19

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

Steps to Calculate GCD of 856, 664, 723, 513 using LCM Formula

Given numbers are 856, 664, 723, 513

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

Apply this formula for all numbers.

Step1:

LCM(856, 664) = 71048

GCD(856, 664) = ( 856 x 664 ) / 71048

= 856 / 664

= 856


Step2:

LCM(8, 723) = 5784

GCD(8, 723) = ( 8 x 723 ) / 5784

= 8 / 723

= 8


Step3:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1


So, Greatest Common Divisor of 856, 664, 723, 513 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 856, 664, 723, 513

Given numbers are 856, 664, 723, 513
The greatest common divisor of numbers 856, 664, 723, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 664, 723, 513 is 1.

FAQs on GCD of 856, 664, 723, 513 Calculator

1. What is the GCD of 856, 664, 723, 513?

GCD of given numbers 856, 664, 723, 513 is 1


2. How to calculate the greatest common divisor of 856, 664, 723, 513?

We can find the highest common divisor of 856, 664, 723, 513 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 856, 664, 723, 513 i.e 1.


3. How can I use the GCD of 856, 664, 723, 513Calculator?

Out the numbers 856, 664, 723, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.