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, 901, 12, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 555, 901, 12, 600 is 1
GCD(555, 901, 12, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 555, 901, 12, 600 is 1
GCD(555, 901, 12, 600) = 1
Given Input numbers are 555, 901, 12, 600
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 555, 901, 12, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 555, 901, 12, 600 is 1.
Therefore, GCD of numbers 555, 901, 12, 600 is 1
Given Input Data is 555, 901, 12, 600
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 901 is 17 x 53
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
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, 901) = 500055
GCD(555, 901) = ( 555 x 901 ) / 500055
GCD(555, 901) = 500055 / 500055
GCD(555, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 555, 901, 12, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 555, 901, 12, 600?
GCD of 555, 901, 12, 600 is 1
2. Where do I get the detailed procedure to find GCD of 555, 901, 12, 600?
You can find a detailed procedure to find GCD of 555, 901, 12, 600 on our page.
3. How to find GCD of 555, 901, 12, 600 on a calculator?
You can find the GCD of 555, 901, 12, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.