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, 168, 347, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 168, 347, 923 is 1
GCD(508, 168, 347, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 168, 347, 923 is 1
GCD(508, 168, 347, 923) = 1
Given Input numbers are 508, 168, 347, 923
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 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 508, 168, 347, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 168, 347, 923 is 1.
Therefore, GCD of numbers 508, 168, 347, 923 is 1
Given Input Data is 508, 168, 347, 923
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 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 347 is 347
Prime Factorization of 923 is 13 x 71
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, 168) = 21336
GCD(508, 168) = ( 508 x 168 ) / 21336
GCD(508, 168) = 85344 / 21336
GCD(508, 168) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 347) = 1388
GCD(4, 347) = ( 4 x 347 ) / 1388
GCD(4, 347) = 1388 / 1388
GCD(4, 347) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
GCD of 508, 168, 347, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 168, 347, 923?
GCD of 508, 168, 347, 923 is 1
2. Where do I get the detailed procedure to find GCD of 508, 168, 347, 923?
You can find a detailed procedure to find GCD of 508, 168, 347, 923 on our page.
3. How to find GCD of 508, 168, 347, 923 on a calculator?
You can find the GCD of 508, 168, 347, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.