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 503, 796, 561, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 796, 561, 745 is 1
GCD(503, 796, 561, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 796, 561, 745 is 1
GCD(503, 796, 561, 745) = 1
Given Input numbers are 503, 796, 561, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 503, 796, 561, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 796, 561, 745 is 1.
Therefore, GCD of numbers 503, 796, 561, 745 is 1
Given Input Data is 503, 796, 561, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 745 is 5 x 149
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(503, 796) = 400388
GCD(503, 796) = ( 503 x 796 ) / 400388
GCD(503, 796) = 400388 / 400388
GCD(503, 796) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 503, 796, 561, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 796, 561, 745?
GCD of 503, 796, 561, 745 is 1
2. Where do I get the detailed procedure to find GCD of 503, 796, 561, 745?
You can find a detailed procedure to find GCD of 503, 796, 561, 745 on our page.
3. How to find GCD of 503, 796, 561, 745 on a calculator?
You can find the GCD of 503, 796, 561, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.