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 577, 204, 80, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 577, 204, 80, 135 is 1
GCD(577, 204, 80, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 577, 204, 80, 135 is 1
GCD(577, 204, 80, 135) = 1
Given Input numbers are 577, 204, 80, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 577, 204, 80, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 204, 80, 135 is 1.
Therefore, GCD of numbers 577, 204, 80, 135 is 1
Given Input Data is 577, 204, 80, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 577 is 577
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 135 is 3 x 3 x 3 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(577, 204) = 117708
GCD(577, 204) = ( 577 x 204 ) / 117708
GCD(577, 204) = 117708 / 117708
GCD(577, 204) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 577, 204, 80, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 577, 204, 80, 135?
GCD of 577, 204, 80, 135 is 1
2. Where do I get the detailed procedure to find GCD of 577, 204, 80, 135?
You can find a detailed procedure to find GCD of 577, 204, 80, 135 on our page.
3. How to find GCD of 577, 204, 80, 135 on a calculator?
You can find the GCD of 577, 204, 80, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.