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 708, 502, 307, 794 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 502, 307, 794 is 1
GCD(708, 502, 307, 794) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 502, 307, 794 is 1
GCD(708, 502, 307, 794) = 1
Given Input numbers are 708, 502, 307, 794
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Greatest Common Divisior
We found the divisors of 708, 502, 307, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 502, 307, 794 is 1.
Therefore, GCD of numbers 708, 502, 307, 794 is 1
Given Input Data is 708, 502, 307, 794
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 502 is 2 x 251
Prime Factorization of 307 is 307
Prime Factorization of 794 is 2 x 397
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(708, 502) = 177708
GCD(708, 502) = ( 708 x 502 ) / 177708
GCD(708, 502) = 355416 / 177708
GCD(708, 502) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 307) = 614
GCD(2, 307) = ( 2 x 307 ) / 614
GCD(2, 307) = 614 / 614
GCD(2, 307) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 794) = 794
GCD(1, 794) = ( 1 x 794 ) / 794
GCD(1, 794) = 794 / 794
GCD(1, 794) = 1
GCD of 708, 502, 307, 794 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 502, 307, 794?
GCD of 708, 502, 307, 794 is 1
2. Where do I get the detailed procedure to find GCD of 708, 502, 307, 794?
You can find a detailed procedure to find GCD of 708, 502, 307, 794 on our page.
3. How to find GCD of 708, 502, 307, 794 on a calculator?
You can find the GCD of 708, 502, 307, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.