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GCD of 565, 686, 687 Calculator

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


Online GCD Calculator is useful to find the GCD of 565, 686, 687 quickly. Get the easiest ways to solve the greatest common divisor of 565, 686, 687 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 565, 686, 687 with Factoring?

Given Input numbers are 565, 686, 687

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

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687


GCD of numbers is the greatest common divisor

So, the GCD (565, 686, 687) = 1.

Find GCD of 565, 686, 687 using Prime Factorization

Given numbers are 565, 686, 687

The list of prime factors of all numbers are

Prime factors of 565 are 5 x 113

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 687 are 3 x 229

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

Steps to Calculate GCD of 565, 686, 687 using LCM Formula

Given numbers are 565, 686, 687

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

Apply this formula for all numbers.

Step1:

LCM(565, 686) = 387590

GCD(565, 686) = ( 565 x 686 ) / 387590

= 565 / 686

= 565


Step2:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1


So, Greatest Common Divisor of 565, 686, 687 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 565, 686, 687

Given numbers are 565, 686, 687
The greatest common divisor of numbers 565, 686, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 686, 687 is 1.

FAQs on GCD of 565, 686, 687 Calculator

1. What is the GCD of 565, 686, 687?

GCD of given numbers 565, 686, 687 is 1


2. How to calculate the greatest common divisor of 565, 686, 687?

We can find the highest common divisor of 565, 686, 687 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 565, 686, 687 i.e 1.


3. How can I use the GCD of 565, 686, 687Calculator?

Out the numbers 565, 686, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.