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 524, 444, 15, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 524, 444, 15, 775 is 1
GCD(524, 444, 15, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 444, 15, 775 is 1
GCD(524, 444, 15, 775) = 1
Given Input numbers are 524, 444, 15, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 524, 444, 15, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 444, 15, 775 is 1.
Therefore, GCD of numbers 524, 444, 15, 775 is 1
Given Input Data is 524, 444, 15, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 15 is 3 x 5
Prime Factorization of 775 is 5 x 5 x 31
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(524, 444) = 58164
GCD(524, 444) = ( 524 x 444 ) / 58164
GCD(524, 444) = 232656 / 58164
GCD(524, 444) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 15) = 60
GCD(4, 15) = ( 4 x 15 ) / 60
GCD(4, 15) = 60 / 60
GCD(4, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 524, 444, 15, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 444, 15, 775?
GCD of 524, 444, 15, 775 is 1
2. Where do I get the detailed procedure to find GCD of 524, 444, 15, 775?
You can find a detailed procedure to find GCD of 524, 444, 15, 775 on our page.
3. How to find GCD of 524, 444, 15, 775 on a calculator?
You can find the GCD of 524, 444, 15, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.