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 308, 334, 103, 861 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 334, 103, 861 is 1
GCD(308, 334, 103, 861) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 334, 103, 861 is 1
GCD(308, 334, 103, 861) = 1
Given Input numbers are 308, 334, 103, 861
To find the GCD of numbers using factoring list out all the divisors of each number
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 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Greatest Common Divisior
We found the divisors of 308, 334, 103, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 334, 103, 861 is 1.
Therefore, GCD of numbers 308, 334, 103, 861 is 1
Given Input Data is 308, 334, 103, 861
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 334 is 2 x 167
Prime Factorization of 103 is 103
Prime Factorization of 861 is 3 x 7 x 41
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(308, 334) = 51436
GCD(308, 334) = ( 308 x 334 ) / 51436
GCD(308, 334) = 102872 / 51436
GCD(308, 334) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 103) = 206
GCD(2, 103) = ( 2 x 103 ) / 206
GCD(2, 103) = 206 / 206
GCD(2, 103) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
GCD(1, 861) = 861 / 861
GCD(1, 861) = 1
GCD of 308, 334, 103, 861 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 334, 103, 861?
GCD of 308, 334, 103, 861 is 1
2. Where do I get the detailed procedure to find GCD of 308, 334, 103, 861?
You can find a detailed procedure to find GCD of 308, 334, 103, 861 on our page.
3. How to find GCD of 308, 334, 103, 861 on a calculator?
You can find the GCD of 308, 334, 103, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.