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, 140, 567, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 903, 140, 567, 880 is 1
GCD(903, 140, 567, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 903, 140, 567, 880 is 1
GCD(903, 140, 567, 880) = 1
Given Input numbers are 903, 140, 567, 880
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 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Greatest Common Divisior
We found the divisors of 903, 140, 567, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 140, 567, 880 is 1.
Therefore, GCD of numbers 903, 140, 567, 880 is 1
Given Input Data is 903, 140, 567, 880
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 140 is 2 x 2 x 5 x 7
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
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, 140) = 18060
GCD(903, 140) = ( 903 x 140 ) / 18060
GCD(903, 140) = 126420 / 18060
GCD(903, 140) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 567) = 567
GCD(7, 567) = ( 7 x 567 ) / 567
GCD(7, 567) = 3969 / 567
GCD(7, 567) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 880) = 6160
GCD(7, 880) = ( 7 x 880 ) / 6160
GCD(7, 880) = 6160 / 6160
GCD(7, 880) = 1
GCD of 903, 140, 567, 880 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 903, 140, 567, 880?
GCD of 903, 140, 567, 880 is 1
2. Where do I get the detailed procedure to find GCD of 903, 140, 567, 880?
You can find a detailed procedure to find GCD of 903, 140, 567, 880 on our page.
3. How to find GCD of 903, 140, 567, 880 on a calculator?
You can find the GCD of 903, 140, 567, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.