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 368, 250, 256, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 250, 256, 683 is 1
GCD(368, 250, 256, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 250, 256, 683 is 1
GCD(368, 250, 256, 683) = 1
Given Input numbers are 368, 250, 256, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 368, 250, 256, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 250, 256, 683 is 1.
Therefore, GCD of numbers 368, 250, 256, 683 is 1
Given Input Data is 368, 250, 256, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 683 is 683
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(368, 250) = 46000
GCD(368, 250) = ( 368 x 250 ) / 46000
GCD(368, 250) = 92000 / 46000
GCD(368, 250) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 256
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 256) = 256
GCD(2, 256) = ( 2 x 256 ) / 256
GCD(2, 256) = 512 / 256
GCD(2, 256) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 683) = 1366
GCD(2, 683) = ( 2 x 683 ) / 1366
GCD(2, 683) = 1366 / 1366
GCD(2, 683) = 1
GCD of 368, 250, 256, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 250, 256, 683?
GCD of 368, 250, 256, 683 is 1
2. Where do I get the detailed procedure to find GCD of 368, 250, 256, 683?
You can find a detailed procedure to find GCD of 368, 250, 256, 683 on our page.
3. How to find GCD of 368, 250, 256, 683 on a calculator?
You can find the GCD of 368, 250, 256, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.