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 618, 343, 38, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 618, 343, 38, 923 is 1
GCD(618, 343, 38, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 618, 343, 38, 923 is 1
GCD(618, 343, 38, 923) = 1
Given Input numbers are 618, 343, 38, 923
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 618, 343, 38, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 343, 38, 923 is 1.
Therefore, GCD of numbers 618, 343, 38, 923 is 1
Given Input Data is 618, 343, 38, 923
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 38 is 2 x 19
Prime Factorization of 923 is 13 x 71
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(618, 343) = 211974
GCD(618, 343) = ( 618 x 343 ) / 211974
GCD(618, 343) = 211974 / 211974
GCD(618, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
GCD of 618, 343, 38, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 618, 343, 38, 923?
GCD of 618, 343, 38, 923 is 1
2. Where do I get the detailed procedure to find GCD of 618, 343, 38, 923?
You can find a detailed procedure to find GCD of 618, 343, 38, 923 on our page.
3. How to find GCD of 618, 343, 38, 923 on a calculator?
You can find the GCD of 618, 343, 38, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.