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 474, 530, 56 i.e. 2 largest integer that divides all the numbers equally.
GCD of 474, 530, 56 is 2
GCD(474, 530, 56) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 530, 56 is 2
GCD(474, 530, 56) = 2
Given Input numbers are 474, 530, 56
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
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 474, 530, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 530, 56 is 2.
Therefore, GCD of numbers 474, 530, 56 is 2
Given Input Data is 474, 530, 56
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 56 is 2 x 2 x 2 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(474, 530) = 125610
GCD(474, 530) = ( 474 x 530 ) / 125610
GCD(474, 530) = 251220 / 125610
GCD(474, 530) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 56) = 56
GCD(2, 56) = ( 2 x 56 ) / 56
GCD(2, 56) = 112 / 56
GCD(2, 56) = 2
GCD of 474, 530, 56 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 530, 56?
GCD of 474, 530, 56 is 2
2. Where do I get the detailed procedure to find GCD of 474, 530, 56?
You can find a detailed procedure to find GCD of 474, 530, 56 on our page.
3. How to find GCD of 474, 530, 56 on a calculator?
You can find the GCD of 474, 530, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.