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, 932, 543, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 932, 543, 924 is 1
GCD(508, 932, 543, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 932, 543, 924 is 1
GCD(508, 932, 543, 924) = 1
Given Input numbers are 508, 932, 543, 924
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 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
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 508, 932, 543, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 932, 543, 924 is 1.
Therefore, GCD of numbers 508, 932, 543, 924 is 1
Given Input Data is 508, 932, 543, 924
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 932 is 2 x 2 x 233
Prime Factorization of 543 is 3 x 181
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(508, 932) = 118364
GCD(508, 932) = ( 508 x 932 ) / 118364
GCD(508, 932) = 473456 / 118364
GCD(508, 932) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 543
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 543) = 2172
GCD(4, 543) = ( 4 x 543 ) / 2172
GCD(4, 543) = 2172 / 2172
GCD(4, 543) = 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 508, 932, 543, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 932, 543, 924?
GCD of 508, 932, 543, 924 is 1
2. Where do I get the detailed procedure to find GCD of 508, 932, 543, 924?
You can find a detailed procedure to find GCD of 508, 932, 543, 924 on our page.
3. How to find GCD of 508, 932, 543, 924 on a calculator?
You can find the GCD of 508, 932, 543, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.