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 134, 164, 312, 454 i.e. 2 largest integer that divides all the numbers equally.
GCD of 134, 164, 312, 454 is 2
GCD(134, 164, 312, 454) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 164, 312, 454 is 2
GCD(134, 164, 312, 454) = 2
Given Input numbers are 134, 164, 312, 454
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Greatest Common Divisior
We found the divisors of 134, 164, 312, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 164, 312, 454 is 2.
Therefore, GCD of numbers 134, 164, 312, 454 is 2
Given Input Data is 134, 164, 312, 454
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 454 is 2 x 227
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(134, 164) = 10988
GCD(134, 164) = ( 134 x 164 ) / 10988
GCD(134, 164) = 21976 / 10988
GCD(134, 164) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
GCD(2, 312) = 624 / 312
GCD(2, 312) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 454
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 454) = 454
GCD(2, 454) = ( 2 x 454 ) / 454
GCD(2, 454) = 908 / 454
GCD(2, 454) = 2
GCD of 134, 164, 312, 454 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 164, 312, 454?
GCD of 134, 164, 312, 454 is 2
2. Where do I get the detailed procedure to find GCD of 134, 164, 312, 454?
You can find a detailed procedure to find GCD of 134, 164, 312, 454 on our page.
3. How to find GCD of 134, 164, 312, 454 on a calculator?
You can find the GCD of 134, 164, 312, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.