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 25, 507, 378, 859 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 507, 378, 859 is 1
GCD(25, 507, 378, 859) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 507, 378, 859 is 1
GCD(25, 507, 378, 859) = 1
Given Input numbers are 25, 507, 378, 859
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
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 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Greatest Common Divisior
We found the divisors of 25, 507, 378, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 507, 378, 859 is 1.
Therefore, GCD of numbers 25, 507, 378, 859 is 1
Given Input Data is 25, 507, 378, 859
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 859 is 859
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(25, 507) = 12675
GCD(25, 507) = ( 25 x 507 ) / 12675
GCD(25, 507) = 12675 / 12675
GCD(25, 507) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 859) = 859
GCD(1, 859) = ( 1 x 859 ) / 859
GCD(1, 859) = 859 / 859
GCD(1, 859) = 1
GCD of 25, 507, 378, 859 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 507, 378, 859?
GCD of 25, 507, 378, 859 is 1
2. Where do I get the detailed procedure to find GCD of 25, 507, 378, 859?
You can find a detailed procedure to find GCD of 25, 507, 378, 859 on our page.
3. How to find GCD of 25, 507, 378, 859 on a calculator?
You can find the GCD of 25, 507, 378, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.