GCD of 208, 652, 238 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 208, 652, 238 i.e. 2 largest integer that divides all the numbers equally.
GCD of 208, 652, 238 is 2
GCD(208, 652, 238) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 208, 652, 238 is 2
GCD(208, 652, 238) = 2
GCDof 208,652,238 is 2
Given Input numbers are 208, 652, 238
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
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 208, 652, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 652, 238 is 2.
Therefore, GCD of numbers 208, 652, 238 is 2
Given Input Data is 208, 652, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 652 is 2 x 2 x 163
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
Finding GCD of 208, 652, 238 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(208, 652) = 33904
GCD(208, 652) = ( 208 x 652 ) / 33904
GCD(208, 652) = 135616 / 33904
GCD(208, 652) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 238) = 476
GCD(4, 238) = ( 4 x 238 ) / 476
GCD(4, 238) = 952 / 476
GCD(4, 238) = 2
GCD of 208, 652, 238 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 208, 652, 238
1. What is the GCD of 208, 652, 238?
GCD of 208, 652, 238 is 2
2. Where do I get the detailed procedure to find GCD of 208, 652, 238?
You can find a detailed procedure to find GCD of 208, 652, 238 on our page.
3. How to find GCD of 208, 652, 238 on a calculator?
You can find the GCD of 208, 652, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.