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, 474, 234, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 474, 234, 703 is 1
GCD(503, 474, 234, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 474, 234, 703 is 1
GCD(503, 474, 234, 703) = 1
Given Input numbers are 503, 474, 234, 703
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 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 503, 474, 234, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 474, 234, 703 is 1.
Therefore, GCD of numbers 503, 474, 234, 703 is 1
Given Input Data is 503, 474, 234, 703
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 703 is 19 x 37
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, 474) = 238422
GCD(503, 474) = ( 503 x 474 ) / 238422
GCD(503, 474) = 238422 / 238422
GCD(503, 474) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 703) = 703
GCD(1, 703) = ( 1 x 703 ) / 703
GCD(1, 703) = 703 / 703
GCD(1, 703) = 1
GCD of 503, 474, 234, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 474, 234, 703?
GCD of 503, 474, 234, 703 is 1
2. Where do I get the detailed procedure to find GCD of 503, 474, 234, 703?
You can find a detailed procedure to find GCD of 503, 474, 234, 703 on our page.
3. How to find GCD of 503, 474, 234, 703 on a calculator?
You can find the GCD of 503, 474, 234, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.