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 280, 844, 279, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 280, 844, 279, 472 is 1
GCD(280, 844, 279, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 280, 844, 279, 472 is 1
GCD(280, 844, 279, 472) = 1
Given Input numbers are 280, 844, 279, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 280, 844, 279, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 844, 279, 472 is 1.
Therefore, GCD of numbers 280, 844, 279, 472 is 1
Given Input Data is 280, 844, 279, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(280, 844) = 59080
GCD(280, 844) = ( 280 x 844 ) / 59080
GCD(280, 844) = 236320 / 59080
GCD(280, 844) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 279) = 1116
GCD(4, 279) = ( 4 x 279 ) / 1116
GCD(4, 279) = 1116 / 1116
GCD(4, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 280, 844, 279, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 280, 844, 279, 472?
GCD of 280, 844, 279, 472 is 1
2. Where do I get the detailed procedure to find GCD of 280, 844, 279, 472?
You can find a detailed procedure to find GCD of 280, 844, 279, 472 on our page.
3. How to find GCD of 280, 844, 279, 472 on a calculator?
You can find the GCD of 280, 844, 279, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.