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 774, 555, 675 i.e. 3 largest integer that divides all the numbers equally.
GCD of 774, 555, 675 is 3
GCD(774, 555, 675) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 555, 675 is 3
GCD(774, 555, 675) = 3
Given Input numbers are 774, 555, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
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 774, 555, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 555, 675 is 3.
Therefore, GCD of numbers 774, 555, 675 is 3
Given Input Data is 774, 555, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 555 is 3 x 5 x 37
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(774, 555) = 143190
GCD(774, 555) = ( 774 x 555 ) / 143190
GCD(774, 555) = 429570 / 143190
GCD(774, 555) = 3
Step2:
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 774, 555, 675 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 555, 675?
GCD of 774, 555, 675 is 3
2. Where do I get the detailed procedure to find GCD of 774, 555, 675?
You can find a detailed procedure to find GCD of 774, 555, 675 on our page.
3. How to find GCD of 774, 555, 675 on a calculator?
You can find the GCD of 774, 555, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.