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, 345, 772, 451 i.e. 1 largest integer that divides all the numbers equally.
GCD of 251, 345, 772, 451 is 1
GCD(251, 345, 772, 451) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 251, 345, 772, 451 is 1
GCD(251, 345, 772, 451) = 1
Given Input numbers are 251, 345, 772, 451
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 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Greatest Common Divisior
We found the divisors of 251, 345, 772, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 345, 772, 451 is 1.
Therefore, GCD of numbers 251, 345, 772, 451 is 1
Given Input Data is 251, 345, 772, 451
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 251 is 251
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 451 is 11 x 41
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, 345) = 86595
GCD(251, 345) = ( 251 x 345 ) / 86595
GCD(251, 345) = 86595 / 86595
GCD(251, 345) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 451
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 451) = 451
GCD(1, 451) = ( 1 x 451 ) / 451
GCD(1, 451) = 451 / 451
GCD(1, 451) = 1
GCD of 251, 345, 772, 451 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 251, 345, 772, 451?
GCD of 251, 345, 772, 451 is 1
2. Where do I get the detailed procedure to find GCD of 251, 345, 772, 451?
You can find a detailed procedure to find GCD of 251, 345, 772, 451 on our page.
3. How to find GCD of 251, 345, 772, 451 on a calculator?
You can find the GCD of 251, 345, 772, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.