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 238, 637, 224 i.e. 7 largest integer that divides all the numbers equally.
GCD of 238, 637, 224 is 7
GCD(238, 637, 224) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 637, 224 is 7
GCD(238, 637, 224) = 7
Given Input numbers are 238, 637, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Greatest Common Divisior
We found the divisors of 238, 637, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 637, 224 is 7.
Therefore, GCD of numbers 238, 637, 224 is 7
Given Input Data is 238, 637, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
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(238, 637) = 21658
GCD(238, 637) = ( 238 x 637 ) / 21658
GCD(238, 637) = 151606 / 21658
GCD(238, 637) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 224) = 224
GCD(7, 224) = ( 7 x 224 ) / 224
GCD(7, 224) = 1568 / 224
GCD(7, 224) = 7
GCD of 238, 637, 224 is 7
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 637, 224?
GCD of 238, 637, 224 is 7
2. Where do I get the detailed procedure to find GCD of 238, 637, 224?
You can find a detailed procedure to find GCD of 238, 637, 224 on our page.
3. How to find GCD of 238, 637, 224 on a calculator?
You can find the GCD of 238, 637, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.