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, 122, 987, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 251, 122, 987, 789 is 1
GCD(251, 122, 987, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 251, 122, 987, 789 is 1
GCD(251, 122, 987, 789) = 1
Given Input numbers are 251, 122, 987, 789
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 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 251, 122, 987, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 122, 987, 789 is 1.
Therefore, GCD of numbers 251, 122, 987, 789 is 1
Given Input Data is 251, 122, 987, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 251 is 251
Prime Factorization of 122 is 2 x 61
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 789 is 3 x 263
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, 122) = 30622
GCD(251, 122) = ( 251 x 122 ) / 30622
GCD(251, 122) = 30622 / 30622
GCD(251, 122) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
GCD of 251, 122, 987, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 251, 122, 987, 789?
GCD of 251, 122, 987, 789 is 1
2. Where do I get the detailed procedure to find GCD of 251, 122, 987, 789?
You can find a detailed procedure to find GCD of 251, 122, 987, 789 on our page.
3. How to find GCD of 251, 122, 987, 789 on a calculator?
You can find the GCD of 251, 122, 987, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.