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 843, 308, 368, 514 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 308, 368, 514 is 1
GCD(843, 308, 368, 514) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 308, 368, 514 is 1
GCD(843, 308, 368, 514) = 1
Given Input numbers are 843, 308, 368, 514
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Greatest Common Divisior
We found the divisors of 843, 308, 368, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 308, 368, 514 is 1.
Therefore, GCD of numbers 843, 308, 368, 514 is 1
Given Input Data is 843, 308, 368, 514
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 514 is 2 x 257
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(843, 308) = 259644
GCD(843, 308) = ( 843 x 308 ) / 259644
GCD(843, 308) = 259644 / 259644
GCD(843, 308) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
GCD(1, 514) = 514 / 514
GCD(1, 514) = 1
GCD of 843, 308, 368, 514 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 308, 368, 514?
GCD of 843, 308, 368, 514 is 1
2. Where do I get the detailed procedure to find GCD of 843, 308, 368, 514?
You can find a detailed procedure to find GCD of 843, 308, 368, 514 on our page.
3. How to find GCD of 843, 308, 368, 514 on a calculator?
You can find the GCD of 843, 308, 368, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.