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, 923, 513, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 923, 513, 687 is 1
GCD(80, 923, 513, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 923, 513, 687 is 1
GCD(80, 923, 513, 687) = 1
Given Input numbers are 80, 923, 513, 687
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 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 80, 923, 513, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 923, 513, 687 is 1.
Therefore, GCD of numbers 80, 923, 513, 687 is 1
Given Input Data is 80, 923, 513, 687
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 923 is 13 x 71
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 687 is 3 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(80, 923) = 73840
GCD(80, 923) = ( 80 x 923 ) / 73840
GCD(80, 923) = 73840 / 73840
GCD(80, 923) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
GCD(1, 513) = 513 / 513
GCD(1, 513) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 80, 923, 513, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 923, 513, 687?
GCD of 80, 923, 513, 687 is 1
2. Where do I get the detailed procedure to find GCD of 80, 923, 513, 687?
You can find a detailed procedure to find GCD of 80, 923, 513, 687 on our page.
3. How to find GCD of 80, 923, 513, 687 on a calculator?
You can find the GCD of 80, 923, 513, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.