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, 814, 843, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 814, 843, 352 is 1
GCD(238, 814, 843, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 814, 843, 352 is 1
GCD(238, 814, 843, 352) = 1
Given Input numbers are 238, 814, 843, 352
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 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 238, 814, 843, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 814, 843, 352 is 1.
Therefore, GCD of numbers 238, 814, 843, 352 is 1
Given Input Data is 238, 814, 843, 352
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 814 is 2 x 11 x 37
Prime Factorization of 843 is 3 x 281
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
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, 814) = 96866
GCD(238, 814) = ( 238 x 814 ) / 96866
GCD(238, 814) = 193732 / 96866
GCD(238, 814) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 843) = 1686
GCD(2, 843) = ( 2 x 843 ) / 1686
GCD(2, 843) = 1686 / 1686
GCD(2, 843) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
GCD of 238, 814, 843, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 814, 843, 352?
GCD of 238, 814, 843, 352 is 1
2. Where do I get the detailed procedure to find GCD of 238, 814, 843, 352?
You can find a detailed procedure to find GCD of 238, 814, 843, 352 on our page.
3. How to find GCD of 238, 814, 843, 352 on a calculator?
You can find the GCD of 238, 814, 843, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.