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 508, 773, 264, 582 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 773, 264, 582 is 1
GCD(508, 773, 264, 582) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 773, 264, 582 is 1
GCD(508, 773, 264, 582) = 1
Given Input numbers are 508, 773, 264, 582
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Greatest Common Divisior
We found the divisors of 508, 773, 264, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 773, 264, 582 is 1.
Therefore, GCD of numbers 508, 773, 264, 582 is 1
Given Input Data is 508, 773, 264, 582
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 773 is 773
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 582 is 2 x 3 x 97
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(508, 773) = 392684
GCD(508, 773) = ( 508 x 773 ) / 392684
GCD(508, 773) = 392684 / 392684
GCD(508, 773) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 582) = 582
GCD(1, 582) = ( 1 x 582 ) / 582
GCD(1, 582) = 582 / 582
GCD(1, 582) = 1
GCD of 508, 773, 264, 582 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 773, 264, 582?
GCD of 508, 773, 264, 582 is 1
2. Where do I get the detailed procedure to find GCD of 508, 773, 264, 582?
You can find a detailed procedure to find GCD of 508, 773, 264, 582 on our page.
3. How to find GCD of 508, 773, 264, 582 on a calculator?
You can find the GCD of 508, 773, 264, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.