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 418, 604, 140, 403 i.e. 1 largest integer that divides all the numbers equally.
GCD of 418, 604, 140, 403 is 1
GCD(418, 604, 140, 403) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 418, 604, 140, 403 is 1
GCD(418, 604, 140, 403) = 1
Given Input numbers are 418, 604, 140, 403
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
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 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Greatest Common Divisior
We found the divisors of 418, 604, 140, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 604, 140, 403 is 1.
Therefore, GCD of numbers 418, 604, 140, 403 is 1
Given Input Data is 418, 604, 140, 403
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 403 is 13 x 31
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(418, 604) = 126236
GCD(418, 604) = ( 418 x 604 ) / 126236
GCD(418, 604) = 252472 / 126236
GCD(418, 604) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
GCD(2, 140) = 280 / 140
GCD(2, 140) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 403) = 806
GCD(2, 403) = ( 2 x 403 ) / 806
GCD(2, 403) = 806 / 806
GCD(2, 403) = 1
GCD of 418, 604, 140, 403 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 418, 604, 140, 403?
GCD of 418, 604, 140, 403 is 1
2. Where do I get the detailed procedure to find GCD of 418, 604, 140, 403?
You can find a detailed procedure to find GCD of 418, 604, 140, 403 on our page.
3. How to find GCD of 418, 604, 140, 403 on a calculator?
You can find the GCD of 418, 604, 140, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.