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 920, 190, 180, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 190, 180, 279 is 1
GCD(920, 190, 180, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 190, 180, 279 is 1
GCD(920, 190, 180, 279) = 1
Given Input numbers are 920, 190, 180, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 920, 190, 180, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 190, 180, 279 is 1.
Therefore, GCD of numbers 920, 190, 180, 279 is 1
Given Input Data is 920, 190, 180, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 279 is 3 x 3 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(920, 190) = 17480
GCD(920, 190) = ( 920 x 190 ) / 17480
GCD(920, 190) = 174800 / 17480
GCD(920, 190) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 180) = 180
GCD(10, 180) = ( 10 x 180 ) / 180
GCD(10, 180) = 1800 / 180
GCD(10, 180) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 279) = 2790
GCD(10, 279) = ( 10 x 279 ) / 2790
GCD(10, 279) = 2790 / 2790
GCD(10, 279) = 1
GCD of 920, 190, 180, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 190, 180, 279?
GCD of 920, 190, 180, 279 is 1
2. Where do I get the detailed procedure to find GCD of 920, 190, 180, 279?
You can find a detailed procedure to find GCD of 920, 190, 180, 279 on our page.
3. How to find GCD of 920, 190, 180, 279 on a calculator?
You can find the GCD of 920, 190, 180, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.