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 916, 668, 789, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 668, 789, 477 is 1
GCD(916, 668, 789, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 668, 789, 477 is 1
GCD(916, 668, 789, 477) = 1
Given Input numbers are 916, 668, 789, 477
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 916, 668, 789, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 668, 789, 477 is 1.
Therefore, GCD of numbers 916, 668, 789, 477 is 1
Given Input Data is 916, 668, 789, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 789 is 3 x 263
Prime Factorization of 477 is 3 x 3 x 53
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(916, 668) = 152972
GCD(916, 668) = ( 916 x 668 ) / 152972
GCD(916, 668) = 611888 / 152972
GCD(916, 668) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 789) = 3156
GCD(4, 789) = ( 4 x 789 ) / 3156
GCD(4, 789) = 3156 / 3156
GCD(4, 789) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 916, 668, 789, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 668, 789, 477?
GCD of 916, 668, 789, 477 is 1
2. Where do I get the detailed procedure to find GCD of 916, 668, 789, 477?
You can find a detailed procedure to find GCD of 916, 668, 789, 477 on our page.
3. How to find GCD of 916, 668, 789, 477 on a calculator?
You can find the GCD of 916, 668, 789, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.