GCD of 472, 188, 952 Calculator

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

GCD of numbers 472, 188, 952 is 4

GCD(472, 188, 952) = 4

GCD of 472,188,952 Calculator

GCDof 472,188,952 is 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

Finding GCD of 472, 188, 952 using Prime Factorization

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

Finding GCD of 472, 188, 952 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 472, 188, 952

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.