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 403, 682, 57, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 403, 682, 57, 109 is 1
GCD(403, 682, 57, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 403, 682, 57, 109 is 1
GCD(403, 682, 57, 109) = 1
Given Input numbers are 403, 682, 57, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
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 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 403, 682, 57, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 682, 57, 109 is 1.
Therefore, GCD of numbers 403, 682, 57, 109 is 1
Given Input Data is 403, 682, 57, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 403 is 13 x 31
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 57 is 3 x 19
Prime Factorization of 109 is 109
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(403, 682) = 8866
GCD(403, 682) = ( 403 x 682 ) / 8866
GCD(403, 682) = 274846 / 8866
GCD(403, 682) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 57) = 1767
GCD(31, 57) = ( 31 x 57 ) / 1767
GCD(31, 57) = 1767 / 1767
GCD(31, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 403, 682, 57, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 403, 682, 57, 109?
GCD of 403, 682, 57, 109 is 1
2. Where do I get the detailed procedure to find GCD of 403, 682, 57, 109?
You can find a detailed procedure to find GCD of 403, 682, 57, 109 on our page.
3. How to find GCD of 403, 682, 57, 109 on a calculator?
You can find the GCD of 403, 682, 57, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.