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 504, 494, 779, 350 i.e. 1 largest integer that divides all the numbers equally.
GCD of 504, 494, 779, 350 is 1
GCD(504, 494, 779, 350) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 494, 779, 350 is 1
GCD(504, 494, 779, 350) = 1
Given Input numbers are 504, 494, 779, 350
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Greatest Common Divisior
We found the divisors of 504, 494, 779, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 494, 779, 350 is 1.
Therefore, GCD of numbers 504, 494, 779, 350 is 1
Given Input Data is 504, 494, 779, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 779 is 19 x 41
Prime Factorization of 350 is 2 x 5 x 5 x 7
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(504, 494) = 124488
GCD(504, 494) = ( 504 x 494 ) / 124488
GCD(504, 494) = 248976 / 124488
GCD(504, 494) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 779) = 1558
GCD(2, 779) = ( 2 x 779 ) / 1558
GCD(2, 779) = 1558 / 1558
GCD(2, 779) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
GCD(1, 350) = 350 / 350
GCD(1, 350) = 1
GCD of 504, 494, 779, 350 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 504, 494, 779, 350?
GCD of 504, 494, 779, 350 is 1
2. Where do I get the detailed procedure to find GCD of 504, 494, 779, 350?
You can find a detailed procedure to find GCD of 504, 494, 779, 350 on our page.
3. How to find GCD of 504, 494, 779, 350 on a calculator?
You can find the GCD of 504, 494, 779, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.