GCD of 627, 591, 861, 675 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 627, 591, 861, 675 i.e. 3 largest integer that divides all the numbers equally.

GCD of 627, 591, 861, 675 is 3

GCD(627, 591, 861, 675) = 3

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

GCD of

GCD of numbers 627, 591, 861, 675 is 3

GCD(627, 591, 861, 675) = 3

GCD of 627,591,861,675 Calculator

GCDof 627,591,861,675 is 3

Given Input numbers are 627, 591, 861, 675

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 627, 591, 861, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 591, 861, 675 is 3.

Therefore, GCD of numbers 627, 591, 861, 675 is 3

Finding GCD of 627, 591, 861, 675 using Prime Factorization

Given Input Data is 627, 591, 861, 675

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 591 is 3 x 197

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 627, 591, 861, 675 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(627, 591) = 123519

GCD(627, 591) = ( 627 x 591 ) / 123519

GCD(627, 591) = 370557 / 123519

GCD(627, 591) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 861

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

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

GCD(3, 861) = 2583 / 861

GCD(3, 861) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 675

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

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

GCD(3, 675) = 2025 / 675

GCD(3, 675) = 3

GCD of 627, 591, 861, 675 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 627, 591, 861, 675

1. What is the GCD of 627, 591, 861, 675?

GCD of 627, 591, 861, 675 is 3


2. Where do I get the detailed procedure to find GCD of 627, 591, 861, 675?

You can find a detailed procedure to find GCD of 627, 591, 861, 675 on our page.


3. How to find GCD of 627, 591, 861, 675 on a calculator?

You can find the GCD of 627, 591, 861, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.