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 435, 394, 742, 903 i.e. 1 largest integer that divides all the numbers equally.
GCD of 435, 394, 742, 903 is 1
GCD(435, 394, 742, 903) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 435, 394, 742, 903 is 1
GCD(435, 394, 742, 903) = 1
Given Input numbers are 435, 394, 742, 903
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
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 435, 394, 742, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 394, 742, 903 is 1.
Therefore, GCD of numbers 435, 394, 742, 903 is 1
Given Input Data is 435, 394, 742, 903
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 394 is 2 x 197
Prime Factorization of 742 is 2 x 7 x 53
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(435, 394) = 171390
GCD(435, 394) = ( 435 x 394 ) / 171390
GCD(435, 394) = 171390 / 171390
GCD(435, 394) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 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 435, 394, 742, 903 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 435, 394, 742, 903?
GCD of 435, 394, 742, 903 is 1
2. Where do I get the detailed procedure to find GCD of 435, 394, 742, 903?
You can find a detailed procedure to find GCD of 435, 394, 742, 903 on our page.
3. How to find GCD of 435, 394, 742, 903 on a calculator?
You can find the GCD of 435, 394, 742, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.