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 456, 884, 558, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 884, 558, 685 is 1
GCD(456, 884, 558, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 884, 558, 685 is 1
GCD(456, 884, 558, 685) = 1
Given Input numbers are 456, 884, 558, 685
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 456, 884, 558, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 884, 558, 685 is 1.
Therefore, GCD of numbers 456, 884, 558, 685 is 1
Given Input Data is 456, 884, 558, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 685 is 5 x 137
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(456, 884) = 100776
GCD(456, 884) = ( 456 x 884 ) / 100776
GCD(456, 884) = 403104 / 100776
GCD(456, 884) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 558) = 1116
GCD(4, 558) = ( 4 x 558 ) / 1116
GCD(4, 558) = 2232 / 1116
GCD(4, 558) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 685) = 1370
GCD(2, 685) = ( 2 x 685 ) / 1370
GCD(2, 685) = 1370 / 1370
GCD(2, 685) = 1
GCD of 456, 884, 558, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 884, 558, 685?
GCD of 456, 884, 558, 685 is 1
2. Where do I get the detailed procedure to find GCD of 456, 884, 558, 685?
You can find a detailed procedure to find GCD of 456, 884, 558, 685 on our page.
3. How to find GCD of 456, 884, 558, 685 on a calculator?
You can find the GCD of 456, 884, 558, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.