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 555, 795, 78, 603 i.e. 3 largest integer that divides all the numbers equally.
GCD of 555, 795, 78, 603 is 3
GCD(555, 795, 78, 603) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 555, 795, 78, 603 is 3
GCD(555, 795, 78, 603) = 3
Given Input numbers are 555, 795, 78, 603
To find the GCD of numbers using factoring list out all the divisors of each number
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 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Greatest Common Divisior
We found the divisors of 555, 795, 78, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 555, 795, 78, 603 is 3.
Therefore, GCD of numbers 555, 795, 78, 603 is 3
Given Input Data is 555, 795, 78, 603
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 603 is 3 x 3 x 67
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(555, 795) = 29415
GCD(555, 795) = ( 555 x 795 ) / 29415
GCD(555, 795) = 441225 / 29415
GCD(555, 795) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 78) = 390
GCD(15, 78) = ( 15 x 78 ) / 390
GCD(15, 78) = 1170 / 390
GCD(15, 78) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 603
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 603) = 603
GCD(3, 603) = ( 3 x 603 ) / 603
GCD(3, 603) = 1809 / 603
GCD(3, 603) = 3
GCD of 555, 795, 78, 603 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 555, 795, 78, 603?
GCD of 555, 795, 78, 603 is 3
2. Where do I get the detailed procedure to find GCD of 555, 795, 78, 603?
You can find a detailed procedure to find GCD of 555, 795, 78, 603 on our page.
3. How to find GCD of 555, 795, 78, 603 on a calculator?
You can find the GCD of 555, 795, 78, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.