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 472, 188, 952 i.e. 4 largest integer that divides all the numbers equally.
GCD of 472, 188, 952 is 4
GCD(472, 188, 952) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 472, 188, 952 is 4
GCD(472, 188, 952) = 4
Given Input numbers are 472, 188, 952
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 472, 188, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 188, 952 is 4.
Therefore, GCD of numbers 472, 188, 952 is 4
Given Input Data is 472, 188, 952
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(472, 188) = 22184
GCD(472, 188) = ( 472 x 188 ) / 22184
GCD(472, 188) = 88736 / 22184
GCD(472, 188) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 952) = 952
GCD(4, 952) = ( 4 x 952 ) / 952
GCD(4, 952) = 3808 / 952
GCD(4, 952) = 4
GCD of 472, 188, 952 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 472, 188, 952?
GCD of 472, 188, 952 is 4
2. Where do I get the detailed procedure to find GCD of 472, 188, 952?
You can find a detailed procedure to find GCD of 472, 188, 952 on our page.
3. How to find GCD of 472, 188, 952 on a calculator?
You can find the GCD of 472, 188, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.