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, 391, 94, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 391, 94, 704 is 1
GCD(508, 391, 94, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 391, 94, 704 is 1
GCD(508, 391, 94, 704) = 1
Given Input numbers are 508, 391, 94, 704
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 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 508, 391, 94, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 391, 94, 704 is 1.
Therefore, GCD of numbers 508, 391, 94, 704 is 1
Given Input Data is 508, 391, 94, 704
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 391 is 17 x 23
Prime Factorization of 94 is 2 x 47
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 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, 391) = 198628
GCD(508, 391) = ( 508 x 391 ) / 198628
GCD(508, 391) = 198628 / 198628
GCD(508, 391) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 94) = 94
GCD(1, 94) = ( 1 x 94 ) / 94
GCD(1, 94) = 94 / 94
GCD(1, 94) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 508, 391, 94, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 391, 94, 704?
GCD of 508, 391, 94, 704 is 1
2. Where do I get the detailed procedure to find GCD of 508, 391, 94, 704?
You can find a detailed procedure to find GCD of 508, 391, 94, 704 on our page.
3. How to find GCD of 508, 391, 94, 704 on a calculator?
You can find the GCD of 508, 391, 94, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.