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 682, 155, 44, 903 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 155, 44, 903 is 1
GCD(682, 155, 44, 903) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 155, 44, 903 is 1
GCD(682, 155, 44, 903) = 1
Given Input numbers are 682, 155, 44, 903
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
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 682, 155, 44, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 155, 44, 903 is 1.
Therefore, GCD of numbers 682, 155, 44, 903 is 1
Given Input Data is 682, 155, 44, 903
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 155 is 5 x 31
Prime Factorization of 44 is 2 x 2 x 11
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(682, 155) = 3410
GCD(682, 155) = ( 682 x 155 ) / 3410
GCD(682, 155) = 105710 / 3410
GCD(682, 155) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 44) = 1364
GCD(31, 44) = ( 31 x 44 ) / 1364
GCD(31, 44) = 1364 / 1364
GCD(31, 44) = 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 682, 155, 44, 903 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 155, 44, 903?
GCD of 682, 155, 44, 903 is 1
2. Where do I get the detailed procedure to find GCD of 682, 155, 44, 903?
You can find a detailed procedure to find GCD of 682, 155, 44, 903 on our page.
3. How to find GCD of 682, 155, 44, 903 on a calculator?
You can find the GCD of 682, 155, 44, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.