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 510, 564, 96, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 564, 96, 793 is 1
GCD(510, 564, 96, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 564, 96, 793 is 1
GCD(510, 564, 96, 793) = 1
Given Input numbers are 510, 564, 96, 793
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 510, 564, 96, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 564, 96, 793 is 1.
Therefore, GCD of numbers 510, 564, 96, 793 is 1
Given Input Data is 510, 564, 96, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 793 is 13 x 61
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(510, 564) = 47940
GCD(510, 564) = ( 510 x 564 ) / 47940
GCD(510, 564) = 287640 / 47940
GCD(510, 564) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 96) = 96
GCD(6, 96) = ( 6 x 96 ) / 96
GCD(6, 96) = 576 / 96
GCD(6, 96) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 793) = 4758
GCD(6, 793) = ( 6 x 793 ) / 4758
GCD(6, 793) = 4758 / 4758
GCD(6, 793) = 1
GCD of 510, 564, 96, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 564, 96, 793?
GCD of 510, 564, 96, 793 is 1
2. Where do I get the detailed procedure to find GCD of 510, 564, 96, 793?
You can find a detailed procedure to find GCD of 510, 564, 96, 793 on our page.
3. How to find GCD of 510, 564, 96, 793 on a calculator?
You can find the GCD of 510, 564, 96, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.