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 176, 952, 238 i.e. 2 largest integer that divides all the numbers equally.
GCD of 176, 952, 238 is 2
GCD(176, 952, 238) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 952, 238 is 2
GCD(176, 952, 238) = 2
Given Input numbers are 176, 952, 238
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
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
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 176, 952, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 952, 238 is 2.
Therefore, GCD of numbers 176, 952, 238 is 2
Given Input Data is 176, 952, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 238 is 2 x 7 x 17
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(176, 952) = 20944
GCD(176, 952) = ( 176 x 952 ) / 20944
GCD(176, 952) = 167552 / 20944
GCD(176, 952) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 238) = 952
GCD(8, 238) = ( 8 x 238 ) / 952
GCD(8, 238) = 1904 / 952
GCD(8, 238) = 2
GCD of 176, 952, 238 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 176, 952, 238?
GCD of 176, 952, 238 is 2
2. Where do I get the detailed procedure to find GCD of 176, 952, 238?
You can find a detailed procedure to find GCD of 176, 952, 238 on our page.
3. How to find GCD of 176, 952, 238 on a calculator?
You can find the GCD of 176, 952, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.