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 251, 428, 745, 431 i.e. 1 largest integer that divides all the numbers equally.
GCD of 251, 428, 745, 431 is 1
GCD(251, 428, 745, 431) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 251, 428, 745, 431 is 1
GCD(251, 428, 745, 431) = 1
Given Input numbers are 251, 428, 745, 431
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Greatest Common Divisior
We found the divisors of 251, 428, 745, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 428, 745, 431 is 1.
Therefore, GCD of numbers 251, 428, 745, 431 is 1
Given Input Data is 251, 428, 745, 431
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 251 is 251
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 745 is 5 x 149
Prime Factorization of 431 is 431
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(251, 428) = 107428
GCD(251, 428) = ( 251 x 428 ) / 107428
GCD(251, 428) = 107428 / 107428
GCD(251, 428) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
GCD of 251, 428, 745, 431 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 251, 428, 745, 431?
GCD of 251, 428, 745, 431 is 1
2. Where do I get the detailed procedure to find GCD of 251, 428, 745, 431?
You can find a detailed procedure to find GCD of 251, 428, 745, 431 on our page.
3. How to find GCD of 251, 428, 745, 431 on a calculator?
You can find the GCD of 251, 428, 745, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.