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 135, 777, 28, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 777, 28, 880 is 1
GCD(135, 777, 28, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 777, 28, 880 is 1
GCD(135, 777, 28, 880) = 1
Given Input numbers are 135, 777, 28, 880
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Greatest Common Divisior
We found the divisors of 135, 777, 28, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 777, 28, 880 is 1.
Therefore, GCD of numbers 135, 777, 28, 880 is 1
Given Input Data is 135, 777, 28, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
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(135, 777) = 34965
GCD(135, 777) = ( 135 x 777 ) / 34965
GCD(135, 777) = 104895 / 34965
GCD(135, 777) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 28) = 84
GCD(3, 28) = ( 3 x 28 ) / 84
GCD(3, 28) = 84 / 84
GCD(3, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
GCD(1, 880) = 880 / 880
GCD(1, 880) = 1
GCD of 135, 777, 28, 880 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 777, 28, 880?
GCD of 135, 777, 28, 880 is 1
2. Where do I get the detailed procedure to find GCD of 135, 777, 28, 880?
You can find a detailed procedure to find GCD of 135, 777, 28, 880 on our page.
3. How to find GCD of 135, 777, 28, 880 on a calculator?
You can find the GCD of 135, 777, 28, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.