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 854, 783, 236, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 783, 236, 296 is 1
GCD(854, 783, 236, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 783, 236, 296 is 1
GCD(854, 783, 236, 296) = 1
Given Input numbers are 854, 783, 236, 296
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 854, 783, 236, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 783, 236, 296 is 1.
Therefore, GCD of numbers 854, 783, 236, 296 is 1
Given Input Data is 854, 783, 236, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 296 is 2 x 2 x 2 x 37
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(854, 783) = 668682
GCD(854, 783) = ( 854 x 783 ) / 668682
GCD(854, 783) = 668682 / 668682
GCD(854, 783) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 854, 783, 236, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 783, 236, 296?
GCD of 854, 783, 236, 296 is 1
2. Where do I get the detailed procedure to find GCD of 854, 783, 236, 296?
You can find a detailed procedure to find GCD of 854, 783, 236, 296 on our page.
3. How to find GCD of 854, 783, 236, 296 on a calculator?
You can find the GCD of 854, 783, 236, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.