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 180, 474, 927 i.e. 3 largest integer that divides all the numbers equally.
GCD of 180, 474, 927 is 3
GCD(180, 474, 927) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 474, 927 is 3
GCD(180, 474, 927) = 3
Given Input numbers are 180, 474, 927
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Greatest Common Divisior
We found the divisors of 180, 474, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 474, 927 is 3.
Therefore, GCD of numbers 180, 474, 927 is 3
Given Input Data is 180, 474, 927
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 927 is 3 x 3 x 103
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(180, 474) = 14220
GCD(180, 474) = ( 180 x 474 ) / 14220
GCD(180, 474) = 85320 / 14220
GCD(180, 474) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 927
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 927) = 1854
GCD(6, 927) = ( 6 x 927 ) / 1854
GCD(6, 927) = 5562 / 1854
GCD(6, 927) = 3
GCD of 180, 474, 927 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 474, 927?
GCD of 180, 474, 927 is 3
2. Where do I get the detailed procedure to find GCD of 180, 474, 927?
You can find a detailed procedure to find GCD of 180, 474, 927 on our page.
3. How to find GCD of 180, 474, 927 on a calculator?
You can find the GCD of 180, 474, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.