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 236, 574, 472 i.e. 2 largest integer that divides all the numbers equally.
GCD of 236, 574, 472 is 2
GCD(236, 574, 472) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 236, 574, 472 is 2
GCD(236, 574, 472) = 2
Given Input numbers are 236, 574, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 236, 574, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 574, 472 is 2.
Therefore, GCD of numbers 236, 574, 472 is 2
Given Input Data is 236, 574, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(236, 574) = 67732
GCD(236, 574) = ( 236 x 574 ) / 67732
GCD(236, 574) = 135464 / 67732
GCD(236, 574) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
GCD(2, 472) = 944 / 472
GCD(2, 472) = 2
GCD of 236, 574, 472 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 236, 574, 472?
GCD of 236, 574, 472 is 2
2. Where do I get the detailed procedure to find GCD of 236, 574, 472?
You can find a detailed procedure to find GCD of 236, 574, 472 on our page.
3. How to find GCD of 236, 574, 472 on a calculator?
You can find the GCD of 236, 574, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.