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 154, 808, 452, 280 i.e. 2 largest integer that divides all the numbers equally.
GCD of 154, 808, 452, 280 is 2
GCD(154, 808, 452, 280) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 808, 452, 280 is 2
GCD(154, 808, 452, 280) = 2
Given Input numbers are 154, 808, 452, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
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 154, 808, 452, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 808, 452, 280 is 2.
Therefore, GCD of numbers 154, 808, 452, 280 is 2
Given Input Data is 154, 808, 452, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(154, 808) = 62216
GCD(154, 808) = ( 154 x 808 ) / 62216
GCD(154, 808) = 124432 / 62216
GCD(154, 808) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 452) = 452
GCD(2, 452) = ( 2 x 452 ) / 452
GCD(2, 452) = 904 / 452
GCD(2, 452) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 280) = 280
GCD(2, 280) = ( 2 x 280 ) / 280
GCD(2, 280) = 560 / 280
GCD(2, 280) = 2
GCD of 154, 808, 452, 280 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 808, 452, 280?
GCD of 154, 808, 452, 280 is 2
2. Where do I get the detailed procedure to find GCD of 154, 808, 452, 280?
You can find a detailed procedure to find GCD of 154, 808, 452, 280 on our page.
3. How to find GCD of 154, 808, 452, 280 on a calculator?
You can find the GCD of 154, 808, 452, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.