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 903, 975, 803, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 903, 975, 803, 802 is 1
GCD(903, 975, 803, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 903, 975, 803, 802 is 1
GCD(903, 975, 803, 802) = 1
Given Input numbers are 903, 975, 803, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 903, 975, 803, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 975, 803, 802 is 1.
Therefore, GCD of numbers 903, 975, 803, 802 is 1
Given Input Data is 903, 975, 803, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 803 is 11 x 73
Prime Factorization of 802 is 2 x 401
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(903, 975) = 293475
GCD(903, 975) = ( 903 x 975 ) / 293475
GCD(903, 975) = 880425 / 293475
GCD(903, 975) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 803) = 2409
GCD(3, 803) = ( 3 x 803 ) / 2409
GCD(3, 803) = 2409 / 2409
GCD(3, 803) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 903, 975, 803, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 903, 975, 803, 802?
GCD of 903, 975, 803, 802 is 1
2. Where do I get the detailed procedure to find GCD of 903, 975, 803, 802?
You can find a detailed procedure to find GCD of 903, 975, 803, 802 on our page.
3. How to find GCD of 903, 975, 803, 802 on a calculator?
You can find the GCD of 903, 975, 803, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.