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GCD of 585, 771, 854, 682 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, 771, 854, 682 quickly. Get the easiest ways to solve the greatest common divisor of 585, 771, 854, 682 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 585, 771, 854, 682 with Factoring?

Given Input numbers are 585, 771, 854, 682

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 771 :

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

1, 3, 257, 771

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682


GCD of numbers is the greatest common divisor

So, the GCD (585, 771, 854, 682) = 1.

Find GCD of 585, 771, 854, 682 using Prime Factorization

Given numbers are 585, 771, 854, 682

The list of prime factors of all numbers are

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

Prime factors of 771 are 3 x 257

Prime factors of 854 are 2 x 7 x 61

Prime factors of 682 are 2 x 11 x 31

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

Steps to Calculate GCD of 585, 771, 854, 682 using LCM Formula

Given numbers are 585, 771, 854, 682

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

Apply this formula for all numbers.

Step1:

LCM(585, 771) = 150345

GCD(585, 771) = ( 585 x 771 ) / 150345

= 585 / 771

= 585


Step2:

LCM(3, 854) = 2562

GCD(3, 854) = ( 3 x 854 ) / 2562

= 3 / 854

= 3


Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1


So, Greatest Common Divisor of 585, 771, 854, 682 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 585, 771, 854, 682

Given numbers are 585, 771, 854, 682
The greatest common divisor of numbers 585, 771, 854, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 771, 854, 682 is 1.

FAQs on GCD of 585, 771, 854, 682 Calculator

1. What is the GCD of 585, 771, 854, 682?

GCD of given numbers 585, 771, 854, 682 is 1


2. How to calculate the greatest common divisor of 585, 771, 854, 682?

We can find the highest common divisor of 585, 771, 854, 682 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, 771, 854, 682 i.e 1.


3. How can I use the GCD of 585, 771, 854, 682Calculator?

Out the numbers 585, 771, 854, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.