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 944, 976, 789, 877 i.e. 1 largest integer that divides all the numbers equally.
GCD of 944, 976, 789, 877 is 1
GCD(944, 976, 789, 877) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 944, 976, 789, 877 is 1
GCD(944, 976, 789, 877) = 1
Given Input numbers are 944, 976, 789, 877
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Greatest Common Divisior
We found the divisors of 944, 976, 789, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 976, 789, 877 is 1.
Therefore, GCD of numbers 944, 976, 789, 877 is 1
Given Input Data is 944, 976, 789, 877
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 789 is 3 x 263
Prime Factorization of 877 is 877
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(944, 976) = 57584
GCD(944, 976) = ( 944 x 976 ) / 57584
GCD(944, 976) = 921344 / 57584
GCD(944, 976) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 789) = 12624
GCD(16, 789) = ( 16 x 789 ) / 12624
GCD(16, 789) = 12624 / 12624
GCD(16, 789) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 877) = 877
GCD(1, 877) = ( 1 x 877 ) / 877
GCD(1, 877) = 877 / 877
GCD(1, 877) = 1
GCD of 944, 976, 789, 877 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 944, 976, 789, 877?
GCD of 944, 976, 789, 877 is 1
2. Where do I get the detailed procedure to find GCD of 944, 976, 789, 877?
You can find a detailed procedure to find GCD of 944, 976, 789, 877 on our page.
3. How to find GCD of 944, 976, 789, 877 on a calculator?
You can find the GCD of 944, 976, 789, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.