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 421, 747, 113, 903 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 747, 113, 903 is 1
GCD(421, 747, 113, 903) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 747, 113, 903 is 1
GCD(421, 747, 113, 903) = 1
Given Input numbers are 421, 747, 113, 903
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Greatest Common Divisior
We found the divisors of 421, 747, 113, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 747, 113, 903 is 1.
Therefore, GCD of numbers 421, 747, 113, 903 is 1
Given Input Data is 421, 747, 113, 903
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 113 is 113
Prime Factorization of 903 is 3 x 7 x 43
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(421, 747) = 314487
GCD(421, 747) = ( 421 x 747 ) / 314487
GCD(421, 747) = 314487 / 314487
GCD(421, 747) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 903
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 903) = 903
GCD(1, 903) = ( 1 x 903 ) / 903
GCD(1, 903) = 903 / 903
GCD(1, 903) = 1
GCD of 421, 747, 113, 903 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 747, 113, 903?
GCD of 421, 747, 113, 903 is 1
2. Where do I get the detailed procedure to find GCD of 421, 747, 113, 903?
You can find a detailed procedure to find GCD of 421, 747, 113, 903 on our page.
3. How to find GCD of 421, 747, 113, 903 on a calculator?
You can find the GCD of 421, 747, 113, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.