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, 184, 155, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 184, 155, 691 is 1
GCD(508, 184, 155, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 184, 155, 691 is 1
GCD(508, 184, 155, 691) = 1
Given Input numbers are 508, 184, 155, 691
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 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 508, 184, 155, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 184, 155, 691 is 1.
Therefore, GCD of numbers 508, 184, 155, 691 is 1
Given Input Data is 508, 184, 155, 691
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 184 is 2 x 2 x 2 x 23
Prime Factorization of 155 is 5 x 31
Prime Factorization of 691 is 691
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, 184) = 23368
GCD(508, 184) = ( 508 x 184 ) / 23368
GCD(508, 184) = 93472 / 23368
GCD(508, 184) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 155) = 620
GCD(4, 155) = ( 4 x 155 ) / 620
GCD(4, 155) = 620 / 620
GCD(4, 155) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
GCD of 508, 184, 155, 691 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 184, 155, 691?
GCD of 508, 184, 155, 691 is 1
2. Where do I get the detailed procedure to find GCD of 508, 184, 155, 691?
You can find a detailed procedure to find GCD of 508, 184, 155, 691 on our page.
3. How to find GCD of 508, 184, 155, 691 on a calculator?
You can find the GCD of 508, 184, 155, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.