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, 667, 973, 278 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 667, 973, 278 is 1
GCD(18, 667, 973, 278) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 667, 973, 278 is 1
GCD(18, 667, 973, 278) = 1
Given Input numbers are 18, 667, 973, 278
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 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 18, 667, 973, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 667, 973, 278 is 1.
Therefore, GCD of numbers 18, 667, 973, 278 is 1
Given Input Data is 18, 667, 973, 278
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 667 is 23 x 29
Prime Factorization of 973 is 7 x 139
Prime Factorization of 278 is 2 x 139
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, 667) = 12006
GCD(18, 667) = ( 18 x 667 ) / 12006
GCD(18, 667) = 12006 / 12006
GCD(18, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
GCD(1, 973) = 973 / 973
GCD(1, 973) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
GCD of 18, 667, 973, 278 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 667, 973, 278?
GCD of 18, 667, 973, 278 is 1
2. Where do I get the detailed procedure to find GCD of 18, 667, 973, 278?
You can find a detailed procedure to find GCD of 18, 667, 973, 278 on our page.
3. How to find GCD of 18, 667, 973, 278 on a calculator?
You can find the GCD of 18, 667, 973, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.