GCD of 711, 678, 565, 771 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 711, 678, 565, 771 i.e. 1 largest integer that divides all the numbers equally.

GCD of 711, 678, 565, 771 is 1

GCD(711, 678, 565, 771) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 711, 678, 565, 771 is 1

GCD(711, 678, 565, 771) = 1

GCD of 711,678,565,771 Calculator

GCDof 711,678,565,771 is 1

Given Input numbers are 711, 678, 565, 771

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 711, 678, 565, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 678, 565, 771 is 1.

Therefore, GCD of numbers 711, 678, 565, 771 is 1

Finding GCD of 711, 678, 565, 771 using Prime Factorization

Given Input Data is 711, 678, 565, 771

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 565 is 5 x 113

Prime Factorization of 771 is 3 x 257

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

Finding GCD of 711, 678, 565, 771 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(711, 678) = 160686

GCD(711, 678) = ( 711 x 678 ) / 160686

GCD(711, 678) = 482058 / 160686

GCD(711, 678) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 565

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

LCM(3, 565) = 1695

GCD(3, 565) = ( 3 x 565 ) / 1695

GCD(3, 565) = 1695 / 1695

GCD(3, 565) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 711, 678, 565, 771 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 711, 678, 565, 771

1. What is the GCD of 711, 678, 565, 771?

GCD of 711, 678, 565, 771 is 1


2. Where do I get the detailed procedure to find GCD of 711, 678, 565, 771?

You can find a detailed procedure to find GCD of 711, 678, 565, 771 on our page.


3. How to find GCD of 711, 678, 565, 771 on a calculator?

You can find the GCD of 711, 678, 565, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.