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, 695, 37, 733 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 695, 37, 733 is 1
GCD(503, 695, 37, 733) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 695, 37, 733 is 1
GCD(503, 695, 37, 733) = 1
Given Input numbers are 503, 695, 37, 733
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 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Greatest Common Divisior
We found the divisors of 503, 695, 37, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 695, 37, 733 is 1.
Therefore, GCD of numbers 503, 695, 37, 733 is 1
Given Input Data is 503, 695, 37, 733
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 695 is 5 x 139
Prime Factorization of 37 is 37
Prime Factorization of 733 is 733
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, 695) = 349585
GCD(503, 695) = ( 503 x 695 ) / 349585
GCD(503, 695) = 349585 / 349585
GCD(503, 695) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
GCD of 503, 695, 37, 733 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 695, 37, 733?
GCD of 503, 695, 37, 733 is 1
2. Where do I get the detailed procedure to find GCD of 503, 695, 37, 733?
You can find a detailed procedure to find GCD of 503, 695, 37, 733 on our page.
3. How to find GCD of 503, 695, 37, 733 on a calculator?
You can find the GCD of 503, 695, 37, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.