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 548, 884, 469, 656 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 884, 469, 656 is 1
GCD(548, 884, 469, 656) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 884, 469, 656 is 1
GCD(548, 884, 469, 656) = 1
Given Input numbers are 548, 884, 469, 656
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Greatest Common Divisior
We found the divisors of 548, 884, 469, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 884, 469, 656 is 1.
Therefore, GCD of numbers 548, 884, 469, 656 is 1
Given Input Data is 548, 884, 469, 656
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 469 is 7 x 67
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
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(548, 884) = 121108
GCD(548, 884) = ( 548 x 884 ) / 121108
GCD(548, 884) = 484432 / 121108
GCD(548, 884) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 469) = 1876
GCD(4, 469) = ( 4 x 469 ) / 1876
GCD(4, 469) = 1876 / 1876
GCD(4, 469) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
GCD(1, 656) = 656 / 656
GCD(1, 656) = 1
GCD of 548, 884, 469, 656 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 884, 469, 656?
GCD of 548, 884, 469, 656 is 1
2. Where do I get the detailed procedure to find GCD of 548, 884, 469, 656?
You can find a detailed procedure to find GCD of 548, 884, 469, 656 on our page.
3. How to find GCD of 548, 884, 469, 656 on a calculator?
You can find the GCD of 548, 884, 469, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.