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 56, 124, 403, 584 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 124, 403, 584 is 1
GCD(56, 124, 403, 584) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 124, 403, 584 is 1
GCD(56, 124, 403, 584) = 1
Given Input numbers are 56, 124, 403, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 56, 124, 403, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 124, 403, 584 is 1.
Therefore, GCD of numbers 56, 124, 403, 584 is 1
Given Input Data is 56, 124, 403, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 403 is 13 x 31
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(56, 124) = 1736
GCD(56, 124) = ( 56 x 124 ) / 1736
GCD(56, 124) = 6944 / 1736
GCD(56, 124) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 403) = 1612
GCD(4, 403) = ( 4 x 403 ) / 1612
GCD(4, 403) = 1612 / 1612
GCD(4, 403) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
GCD of 56, 124, 403, 584 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 124, 403, 584?
GCD of 56, 124, 403, 584 is 1
2. Where do I get the detailed procedure to find GCD of 56, 124, 403, 584?
You can find a detailed procedure to find GCD of 56, 124, 403, 584 on our page.
3. How to find GCD of 56, 124, 403, 584 on a calculator?
You can find the GCD of 56, 124, 403, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.