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 279, 800, 454, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 279, 800, 454, 109 is 1
GCD(279, 800, 454, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 279, 800, 454, 109 is 1
GCD(279, 800, 454, 109) = 1
Given Input numbers are 279, 800, 454, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 279, 800, 454, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 800, 454, 109 is 1.
Therefore, GCD of numbers 279, 800, 454, 109 is 1
Given Input Data is 279, 800, 454, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 454 is 2 x 227
Prime Factorization of 109 is 109
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(279, 800) = 223200
GCD(279, 800) = ( 279 x 800 ) / 223200
GCD(279, 800) = 223200 / 223200
GCD(279, 800) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 454
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 454) = 454
GCD(1, 454) = ( 1 x 454 ) / 454
GCD(1, 454) = 454 / 454
GCD(1, 454) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 279, 800, 454, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 279, 800, 454, 109?
GCD of 279, 800, 454, 109 is 1
2. Where do I get the detailed procedure to find GCD of 279, 800, 454, 109?
You can find a detailed procedure to find GCD of 279, 800, 454, 109 on our page.
3. How to find GCD of 279, 800, 454, 109 on a calculator?
You can find the GCD of 279, 800, 454, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.