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 75, 378, 530, 439 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 378, 530, 439 is 1
GCD(75, 378, 530, 439) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 378, 530, 439 is 1
GCD(75, 378, 530, 439) = 1
Given Input numbers are 75, 378, 530, 439
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 439
List of positive integer divisors of 439 that divides 439 without a remainder.
1, 439
Greatest Common Divisior
We found the divisors of 75, 378, 530, 439 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 378, 530, 439 is 1.
Therefore, GCD of numbers 75, 378, 530, 439 is 1
Given Input Data is 75, 378, 530, 439
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 439 is 439
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(75, 378) = 9450
GCD(75, 378) = ( 75 x 378 ) / 9450
GCD(75, 378) = 28350 / 9450
GCD(75, 378) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 530) = 1590
GCD(3, 530) = ( 3 x 530 ) / 1590
GCD(3, 530) = 1590 / 1590
GCD(3, 530) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 439
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 439) = 439
GCD(1, 439) = ( 1 x 439 ) / 439
GCD(1, 439) = 439 / 439
GCD(1, 439) = 1
GCD of 75, 378, 530, 439 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 378, 530, 439?
GCD of 75, 378, 530, 439 is 1
2. Where do I get the detailed procedure to find GCD of 75, 378, 530, 439?
You can find a detailed procedure to find GCD of 75, 378, 530, 439 on our page.
3. How to find GCD of 75, 378, 530, 439 on a calculator?
You can find the GCD of 75, 378, 530, 439 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.