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 255, 480, 139, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 480, 139, 188 is 1
GCD(255, 480, 139, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 480, 139, 188 is 1
GCD(255, 480, 139, 188) = 1
Given Input numbers are 255, 480, 139, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 255, 480, 139, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 480, 139, 188 is 1.
Therefore, GCD of numbers 255, 480, 139, 188 is 1
Given Input Data is 255, 480, 139, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 139 is 139
Prime Factorization of 188 is 2 x 2 x 47
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(255, 480) = 8160
GCD(255, 480) = ( 255 x 480 ) / 8160
GCD(255, 480) = 122400 / 8160
GCD(255, 480) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 139) = 2085
GCD(15, 139) = ( 15 x 139 ) / 2085
GCD(15, 139) = 2085 / 2085
GCD(15, 139) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 255, 480, 139, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 480, 139, 188?
GCD of 255, 480, 139, 188 is 1
2. Where do I get the detailed procedure to find GCD of 255, 480, 139, 188?
You can find a detailed procedure to find GCD of 255, 480, 139, 188 on our page.
3. How to find GCD of 255, 480, 139, 188 on a calculator?
You can find the GCD of 255, 480, 139, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.