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GCD of 585, 676, 375, 856 Calculator

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


Online GCD Calculator is useful to find the GCD of 585, 676, 375, 856 quickly. Get the easiest ways to solve the greatest common divisor of 585, 676, 375, 856 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 585, 676, 375, 856 with Factoring?

Given Input numbers are 585, 676, 375, 856

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 856 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (585, 676, 375, 856) = 1.

Find GCD of 585, 676, 375, 856 using Prime Factorization

Given numbers are 585, 676, 375, 856

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 375 are 3 x 5 x 5 x 5

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

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

Steps to Calculate GCD of 585, 676, 375, 856 using LCM Formula

Given numbers are 585, 676, 375, 856

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

Apply this formula for all numbers.

Step1:

LCM(585, 676) = 30420

GCD(585, 676) = ( 585 x 676 ) / 30420

= 585 / 676

= 585


Step2:

LCM(13, 375) = 4875

GCD(13, 375) = ( 13 x 375 ) / 4875

= 13 / 375

= 13


Step3:

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

= 1 / 856

= 1


So, Greatest Common Divisor of 585, 676, 375, 856 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 585, 676, 375, 856

Given numbers are 585, 676, 375, 856
The greatest common divisor of numbers 585, 676, 375, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 676, 375, 856 is 1.

FAQs on GCD of 585, 676, 375, 856 Calculator

1. What is the GCD of 585, 676, 375, 856?

GCD of given numbers 585, 676, 375, 856 is 1


2. How to calculate the greatest common divisor of 585, 676, 375, 856?

We can find the highest common divisor of 585, 676, 375, 856 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 585, 676, 375, 856 i.e 1.


3. How can I use the GCD of 585, 676, 375, 856Calculator?

Out the numbers 585, 676, 375, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.