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 120, 787, 50, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 787, 50, 876 is 1
GCD(120, 787, 50, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 787, 50, 876 is 1
GCD(120, 787, 50, 876) = 1
Given Input numbers are 120, 787, 50, 876
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Greatest Common Divisior
We found the divisors of 120, 787, 50, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 787, 50, 876 is 1.
Therefore, GCD of numbers 120, 787, 50, 876 is 1
Given Input Data is 120, 787, 50, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 787 is 787
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 876 is 2 x 2 x 3 x 73
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(120, 787) = 94440
GCD(120, 787) = ( 120 x 787 ) / 94440
GCD(120, 787) = 94440 / 94440
GCD(120, 787) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
GCD of 120, 787, 50, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 787, 50, 876?
GCD of 120, 787, 50, 876 is 1
2. Where do I get the detailed procedure to find GCD of 120, 787, 50, 876?
You can find a detailed procedure to find GCD of 120, 787, 50, 876 on our page.
3. How to find GCD of 120, 787, 50, 876 on a calculator?
You can find the GCD of 120, 787, 50, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.