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 numbers 627, 591, 861, 675 is 3
GCD(627, 591, 861, 675) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.