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 112, 179, 371, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 179, 371, 625 is 1
GCD(112, 179, 371, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 179, 371, 625 is 1
GCD(112, 179, 371, 625) = 1
Given Input numbers are 112, 179, 371, 625
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 112, 179, 371, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 179, 371, 625 is 1.
Therefore, GCD of numbers 112, 179, 371, 625 is 1
Given Input Data is 112, 179, 371, 625
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 179 is 179
Prime Factorization of 371 is 7 x 53
Prime Factorization of 625 is 5 x 5 x 5 x 5
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(112, 179) = 20048
GCD(112, 179) = ( 112 x 179 ) / 20048
GCD(112, 179) = 20048 / 20048
GCD(112, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
GCD of 112, 179, 371, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 179, 371, 625?
GCD of 112, 179, 371, 625 is 1
2. Where do I get the detailed procedure to find GCD of 112, 179, 371, 625?
You can find a detailed procedure to find GCD of 112, 179, 371, 625 on our page.
3. How to find GCD of 112, 179, 371, 625 on a calculator?
You can find the GCD of 112, 179, 371, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.