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 824, 549, 56 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 549, 56 is 1
GCD(824, 549, 56) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 549, 56 is 1
GCD(824, 549, 56) = 1
Given Input numbers are 824, 549, 56
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Greatest Common Divisior
We found the divisors of 824, 549, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 549, 56 is 1.
Therefore, GCD of numbers 824, 549, 56 is 1
Given Input Data is 824, 549, 56
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 56 is 2 x 2 x 2 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(824, 549) = 452376
GCD(824, 549) = ( 824 x 549 ) / 452376
GCD(824, 549) = 452376 / 452376
GCD(824, 549) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 56) = 56
GCD(1, 56) = ( 1 x 56 ) / 56
GCD(1, 56) = 56 / 56
GCD(1, 56) = 1
GCD of 824, 549, 56 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 549, 56?
GCD of 824, 549, 56 is 1
2. Where do I get the detailed procedure to find GCD of 824, 549, 56?
You can find a detailed procedure to find GCD of 824, 549, 56 on our page.
3. How to find GCD of 824, 549, 56 on a calculator?
You can find the GCD of 824, 549, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.