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, 939, 58, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 939, 58, 924 is 1
GCD(510, 939, 58, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 939, 58, 924 is 1
GCD(510, 939, 58, 924) = 1
Given Input numbers are 510, 939, 58, 924
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 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 510, 939, 58, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 939, 58, 924 is 1.
Therefore, GCD of numbers 510, 939, 58, 924 is 1
Given Input Data is 510, 939, 58, 924
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 939 is 3 x 313
Prime Factorization of 58 is 2 x 29
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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, 939) = 159630
GCD(510, 939) = ( 510 x 939 ) / 159630
GCD(510, 939) = 478890 / 159630
GCD(510, 939) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 58) = 174
GCD(3, 58) = ( 3 x 58 ) / 174
GCD(3, 58) = 174 / 174
GCD(3, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 510, 939, 58, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 939, 58, 924?
GCD of 510, 939, 58, 924 is 1
2. Where do I get the detailed procedure to find GCD of 510, 939, 58, 924?
You can find a detailed procedure to find GCD of 510, 939, 58, 924 on our page.
3. How to find GCD of 510, 939, 58, 924 on a calculator?
You can find the GCD of 510, 939, 58, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.