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 27, 674, 468, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 674, 468, 280 is 1
GCD(27, 674, 468, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 674, 468, 280 is 1
GCD(27, 674, 468, 280) = 1
Given Input numbers are 27, 674, 468, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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
Greatest Common Divisior
We found the divisors of 27, 674, 468, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 674, 468, 280 is 1.
Therefore, GCD of numbers 27, 674, 468, 280 is 1
Given Input Data is 27, 674, 468, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 674 is 2 x 337
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
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(27, 674) = 18198
GCD(27, 674) = ( 27 x 674 ) / 18198
GCD(27, 674) = 18198 / 18198
GCD(27, 674) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
GCD of 27, 674, 468, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 674, 468, 280?
GCD of 27, 674, 468, 280 is 1
2. Where do I get the detailed procedure to find GCD of 27, 674, 468, 280?
You can find a detailed procedure to find GCD of 27, 674, 468, 280 on our page.
3. How to find GCD of 27, 674, 468, 280 on a calculator?
You can find the GCD of 27, 674, 468, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.