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 131, 157, 25, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 157, 25, 378 is 1
GCD(131, 157, 25, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 157, 25, 378 is 1
GCD(131, 157, 25, 378) = 1
Given Input numbers are 131, 157, 25, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
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
Greatest Common Divisior
We found the divisors of 131, 157, 25, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 157, 25, 378 is 1.
Therefore, GCD of numbers 131, 157, 25, 378 is 1
Given Input Data is 131, 157, 25, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 157 is 157
Prime Factorization of 25 is 5 x 5
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
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(131, 157) = 20567
GCD(131, 157) = ( 131 x 157 ) / 20567
GCD(131, 157) = 20567 / 20567
GCD(131, 157) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
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
GCD of 131, 157, 25, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 157, 25, 378?
GCD of 131, 157, 25, 378 is 1
2. Where do I get the detailed procedure to find GCD of 131, 157, 25, 378?
You can find a detailed procedure to find GCD of 131, 157, 25, 378 on our page.
3. How to find GCD of 131, 157, 25, 378 on a calculator?
You can find the GCD of 131, 157, 25, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.