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 954, 153, 82, 184 i.e. 1 largest integer that divides all the numbers equally.
GCD of 954, 153, 82, 184 is 1
GCD(954, 153, 82, 184) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 954, 153, 82, 184 is 1
GCD(954, 153, 82, 184) = 1
Given Input numbers are 954, 153, 82, 184
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Greatest Common Divisior
We found the divisors of 954, 153, 82, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 153, 82, 184 is 1.
Therefore, GCD of numbers 954, 153, 82, 184 is 1
Given Input Data is 954, 153, 82, 184
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 82 is 2 x 41
Prime Factorization of 184 is 2 x 2 x 2 x 23
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(954, 153) = 16218
GCD(954, 153) = ( 954 x 153 ) / 16218
GCD(954, 153) = 145962 / 16218
GCD(954, 153) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 82) = 738
GCD(9, 82) = ( 9 x 82 ) / 738
GCD(9, 82) = 738 / 738
GCD(9, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
GCD of 954, 153, 82, 184 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 954, 153, 82, 184?
GCD of 954, 153, 82, 184 is 1
2. Where do I get the detailed procedure to find GCD of 954, 153, 82, 184?
You can find a detailed procedure to find GCD of 954, 153, 82, 184 on our page.
3. How to find GCD of 954, 153, 82, 184 on a calculator?
You can find the GCD of 954, 153, 82, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.