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, 524, 10, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 524, 10, 380 is 1
GCD(255, 524, 10, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 524, 10, 380 is 1
GCD(255, 524, 10, 380) = 1
Given Input numbers are 255, 524, 10, 380
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 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 255, 524, 10, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 524, 10, 380 is 1.
Therefore, GCD of numbers 255, 524, 10, 380 is 1
Given Input Data is 255, 524, 10, 380
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 524 is 2 x 2 x 131
Prime Factorization of 10 is 2 x 5
Prime Factorization of 380 is 2 x 2 x 5 x 19
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, 524) = 133620
GCD(255, 524) = ( 255 x 524 ) / 133620
GCD(255, 524) = 133620 / 133620
GCD(255, 524) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 255, 524, 10, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 524, 10, 380?
GCD of 255, 524, 10, 380 is 1
2. Where do I get the detailed procedure to find GCD of 255, 524, 10, 380?
You can find a detailed procedure to find GCD of 255, 524, 10, 380 on our page.
3. How to find GCD of 255, 524, 10, 380 on a calculator?
You can find the GCD of 255, 524, 10, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.