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 18, 426, 140, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 426, 140, 913 is 1
GCD(18, 426, 140, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 426, 140, 913 is 1
GCD(18, 426, 140, 913) = 1
Given Input numbers are 18, 426, 140, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
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 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 18, 426, 140, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 426, 140, 913 is 1.
Therefore, GCD of numbers 18, 426, 140, 913 is 1
Given Input Data is 18, 426, 140, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 913 is 11 x 83
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(18, 426) = 1278
GCD(18, 426) = ( 18 x 426 ) / 1278
GCD(18, 426) = 7668 / 1278
GCD(18, 426) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 140) = 420
GCD(6, 140) = ( 6 x 140 ) / 420
GCD(6, 140) = 840 / 420
GCD(6, 140) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 913) = 1826
GCD(2, 913) = ( 2 x 913 ) / 1826
GCD(2, 913) = 1826 / 1826
GCD(2, 913) = 1
GCD of 18, 426, 140, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 426, 140, 913?
GCD of 18, 426, 140, 913 is 1
2. Where do I get the detailed procedure to find GCD of 18, 426, 140, 913?
You can find a detailed procedure to find GCD of 18, 426, 140, 913 on our page.
3. How to find GCD of 18, 426, 140, 913 on a calculator?
You can find the GCD of 18, 426, 140, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.