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, 939, 837 i.e. 3 largest integer that divides all the numbers equally.
GCD of 180, 939, 837 is 3
GCD(180, 939, 837) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 939, 837 is 3
GCD(180, 939, 837) = 3
Given Input numbers are 180, 939, 837
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 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Greatest Common Divisior
We found the divisors of 180, 939, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 939, 837 is 3.
Therefore, GCD of numbers 180, 939, 837 is 3
Given Input Data is 180, 939, 837
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 939 is 3 x 313
Prime Factorization of 837 is 3 x 3 x 3 x 31
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, 939) = 56340
GCD(180, 939) = ( 180 x 939 ) / 56340
GCD(180, 939) = 169020 / 56340
GCD(180, 939) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 837) = 837
GCD(3, 837) = ( 3 x 837 ) / 837
GCD(3, 837) = 2511 / 837
GCD(3, 837) = 3
GCD of 180, 939, 837 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 939, 837?
GCD of 180, 939, 837 is 3
2. Where do I get the detailed procedure to find GCD of 180, 939, 837?
You can find a detailed procedure to find GCD of 180, 939, 837 on our page.
3. How to find GCD of 180, 939, 837 on a calculator?
You can find the GCD of 180, 939, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.