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, 160, 687, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 903, 160, 687, 755 is 1
GCD(903, 160, 687, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 903, 160, 687, 755 is 1
GCD(903, 160, 687, 755) = 1
Given Input numbers are 903, 160, 687, 755
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 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 903, 160, 687, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 160, 687, 755 is 1.
Therefore, GCD of numbers 903, 160, 687, 755 is 1
Given Input Data is 903, 160, 687, 755
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 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 687 is 3 x 229
Prime Factorization of 755 is 5 x 151
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, 160) = 144480
GCD(903, 160) = ( 903 x 160 ) / 144480
GCD(903, 160) = 144480 / 144480
GCD(903, 160) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
GCD of 903, 160, 687, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 903, 160, 687, 755?
GCD of 903, 160, 687, 755 is 1
2. Where do I get the detailed procedure to find GCD of 903, 160, 687, 755?
You can find a detailed procedure to find GCD of 903, 160, 687, 755 on our page.
3. How to find GCD of 903, 160, 687, 755 on a calculator?
You can find the GCD of 903, 160, 687, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.