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 507, 325, 58, 963 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 325, 58, 963 is 1
GCD(507, 325, 58, 963) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 325, 58, 963 is 1
GCD(507, 325, 58, 963) = 1
Given Input numbers are 507, 325, 58, 963
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Greatest Common Divisior
We found the divisors of 507, 325, 58, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 325, 58, 963 is 1.
Therefore, GCD of numbers 507, 325, 58, 963 is 1
Given Input Data is 507, 325, 58, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 58 is 2 x 29
Prime Factorization of 963 is 3 x 3 x 107
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(507, 325) = 12675
GCD(507, 325) = ( 507 x 325 ) / 12675
GCD(507, 325) = 164775 / 12675
GCD(507, 325) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 58) = 754
GCD(13, 58) = ( 13 x 58 ) / 754
GCD(13, 58) = 754 / 754
GCD(13, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
GCD of 507, 325, 58, 963 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 325, 58, 963?
GCD of 507, 325, 58, 963 is 1
2. Where do I get the detailed procedure to find GCD of 507, 325, 58, 963?
You can find a detailed procedure to find GCD of 507, 325, 58, 963 on our page.
3. How to find GCD of 507, 325, 58, 963 on a calculator?
You can find the GCD of 507, 325, 58, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.