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, 148, 391 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 148, 391 is 1
GCD(508, 148, 391) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 148, 391 is 1
GCD(508, 148, 391) = 1
Given Input numbers are 508, 148, 391
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 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Greatest Common Divisior
We found the divisors of 508, 148, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 148, 391 is 1.
Therefore, GCD of numbers 508, 148, 391 is 1
Given Input Data is 508, 148, 391
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 148 is 2 x 2 x 37
Prime Factorization of 391 is 17 x 23
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, 148) = 18796
GCD(508, 148) = ( 508 x 148 ) / 18796
GCD(508, 148) = 75184 / 18796
GCD(508, 148) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 391) = 1564
GCD(4, 391) = ( 4 x 391 ) / 1564
GCD(4, 391) = 1564 / 1564
GCD(4, 391) = 1
GCD of 508, 148, 391 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 148, 391?
GCD of 508, 148, 391 is 1
2. Where do I get the detailed procedure to find GCD of 508, 148, 391?
You can find a detailed procedure to find GCD of 508, 148, 391 on our page.
3. How to find GCD of 508, 148, 391 on a calculator?
You can find the GCD of 508, 148, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.