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 164, 308, 94, 857 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 308, 94, 857 is 1
GCD(164, 308, 94, 857) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 308, 94, 857 is 1
GCD(164, 308, 94, 857) = 1
Given Input numbers are 164, 308, 94, 857
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
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 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Greatest Common Divisior
We found the divisors of 164, 308, 94, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 308, 94, 857 is 1.
Therefore, GCD of numbers 164, 308, 94, 857 is 1
Given Input Data is 164, 308, 94, 857
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 94 is 2 x 47
Prime Factorization of 857 is 857
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(164, 308) = 12628
GCD(164, 308) = ( 164 x 308 ) / 12628
GCD(164, 308) = 50512 / 12628
GCD(164, 308) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 94) = 188
GCD(4, 94) = ( 4 x 94 ) / 188
GCD(4, 94) = 376 / 188
GCD(4, 94) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 857) = 1714
GCD(2, 857) = ( 2 x 857 ) / 1714
GCD(2, 857) = 1714 / 1714
GCD(2, 857) = 1
GCD of 164, 308, 94, 857 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 308, 94, 857?
GCD of 164, 308, 94, 857 is 1
2. Where do I get the detailed procedure to find GCD of 164, 308, 94, 857?
You can find a detailed procedure to find GCD of 164, 308, 94, 857 on our page.
3. How to find GCD of 164, 308, 94, 857 on a calculator?
You can find the GCD of 164, 308, 94, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.