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 561, 307, 80, 916 i.e. 1 largest integer that divides all the numbers equally.
GCD of 561, 307, 80, 916 is 1
GCD(561, 307, 80, 916) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 561, 307, 80, 916 is 1
GCD(561, 307, 80, 916) = 1
Given Input numbers are 561, 307, 80, 916
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Greatest Common Divisior
We found the divisors of 561, 307, 80, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 307, 80, 916 is 1.
Therefore, GCD of numbers 561, 307, 80, 916 is 1
Given Input Data is 561, 307, 80, 916
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 307 is 307
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 916 is 2 x 2 x 229
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(561, 307) = 172227
GCD(561, 307) = ( 561 x 307 ) / 172227
GCD(561, 307) = 172227 / 172227
GCD(561, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 916
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
GCD(1, 916) = 916 / 916
GCD(1, 916) = 1
GCD of 561, 307, 80, 916 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 561, 307, 80, 916?
GCD of 561, 307, 80, 916 is 1
2. Where do I get the detailed procedure to find GCD of 561, 307, 80, 916?
You can find a detailed procedure to find GCD of 561, 307, 80, 916 on our page.
3. How to find GCD of 561, 307, 80, 916 on a calculator?
You can find the GCD of 561, 307, 80, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.