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 80, 156, 773, 583 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 156, 773, 583 is 1
GCD(80, 156, 773, 583) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 156, 773, 583 is 1
GCD(80, 156, 773, 583) = 1
Given Input numbers are 80, 156, 773, 583
To find the GCD of numbers using factoring list out all the divisors of each number
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 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Greatest Common Divisior
We found the divisors of 80, 156, 773, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 156, 773, 583 is 1.
Therefore, GCD of numbers 80, 156, 773, 583 is 1
Given Input Data is 80, 156, 773, 583
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 773 is 773
Prime Factorization of 583 is 11 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(80, 156) = 3120
GCD(80, 156) = ( 80 x 156 ) / 3120
GCD(80, 156) = 12480 / 3120
GCD(80, 156) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 773
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 773) = 3092
GCD(4, 773) = ( 4 x 773 ) / 3092
GCD(4, 773) = 3092 / 3092
GCD(4, 773) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 583) = 583
GCD(1, 583) = ( 1 x 583 ) / 583
GCD(1, 583) = 583 / 583
GCD(1, 583) = 1
GCD of 80, 156, 773, 583 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 156, 773, 583?
GCD of 80, 156, 773, 583 is 1
2. Where do I get the detailed procedure to find GCD of 80, 156, 773, 583?
You can find a detailed procedure to find GCD of 80, 156, 773, 583 on our page.
3. How to find GCD of 80, 156, 773, 583 on a calculator?
You can find the GCD of 80, 156, 773, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.