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 428, 325, 80, 174 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 325, 80, 174 is 1
GCD(428, 325, 80, 174) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 325, 80, 174 is 1
GCD(428, 325, 80, 174) = 1
Given Input numbers are 428, 325, 80, 174
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Greatest Common Divisior
We found the divisors of 428, 325, 80, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 325, 80, 174 is 1.
Therefore, GCD of numbers 428, 325, 80, 174 is 1
Given Input Data is 428, 325, 80, 174
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 174 is 2 x 3 x 29
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(428, 325) = 139100
GCD(428, 325) = ( 428 x 325 ) / 139100
GCD(428, 325) = 139100 / 139100
GCD(428, 325) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
GCD(1, 174) = 174 / 174
GCD(1, 174) = 1
GCD of 428, 325, 80, 174 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 325, 80, 174?
GCD of 428, 325, 80, 174 is 1
2. Where do I get the detailed procedure to find GCD of 428, 325, 80, 174?
You can find a detailed procedure to find GCD of 428, 325, 80, 174 on our page.
3. How to find GCD of 428, 325, 80, 174 on a calculator?
You can find the GCD of 428, 325, 80, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.