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 94, 288, 477, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 94, 288, 477, 180 is 1
GCD(94, 288, 477, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 94, 288, 477, 180 is 1
GCD(94, 288, 477, 180) = 1
Given Input numbers are 94, 288, 477, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 94, 288, 477, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 94, 288, 477, 180 is 1.
Therefore, GCD of numbers 94, 288, 477, 180 is 1
Given Input Data is 94, 288, 477, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 94 is 2 x 47
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(94, 288) = 13536
GCD(94, 288) = ( 94 x 288 ) / 13536
GCD(94, 288) = 27072 / 13536
GCD(94, 288) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 477) = 954
GCD(2, 477) = ( 2 x 477 ) / 954
GCD(2, 477) = 954 / 954
GCD(2, 477) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 94, 288, 477, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 94, 288, 477, 180?
GCD of 94, 288, 477, 180 is 1
2. Where do I get the detailed procedure to find GCD of 94, 288, 477, 180?
You can find a detailed procedure to find GCD of 94, 288, 477, 180 on our page.
3. How to find GCD of 94, 288, 477, 180 on a calculator?
You can find the GCD of 94, 288, 477, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.