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 513, 931, 89, 773 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 931, 89, 773 is 1
GCD(513, 931, 89, 773) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 931, 89, 773 is 1
GCD(513, 931, 89, 773) = 1
Given Input numbers are 513, 931, 89, 773
To find the GCD of numbers using factoring list out all the divisors of each number
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 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Greatest Common Divisior
We found the divisors of 513, 931, 89, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 931, 89, 773 is 1.
Therefore, GCD of numbers 513, 931, 89, 773 is 1
Given Input Data is 513, 931, 89, 773
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 89 is 89
Prime Factorization of 773 is 773
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(513, 931) = 25137
GCD(513, 931) = ( 513 x 931 ) / 25137
GCD(513, 931) = 477603 / 25137
GCD(513, 931) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 89) = 1691
GCD(19, 89) = ( 19 x 89 ) / 1691
GCD(19, 89) = 1691 / 1691
GCD(19, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 773
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 773) = 773
GCD(1, 773) = ( 1 x 773 ) / 773
GCD(1, 773) = 773 / 773
GCD(1, 773) = 1
GCD of 513, 931, 89, 773 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 931, 89, 773?
GCD of 513, 931, 89, 773 is 1
2. Where do I get the detailed procedure to find GCD of 513, 931, 89, 773?
You can find a detailed procedure to find GCD of 513, 931, 89, 773 on our page.
3. How to find GCD of 513, 931, 89, 773 on a calculator?
You can find the GCD of 513, 931, 89, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.