GCD of 150, 996, 939 Calculator
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 150, 996, 939 i.e. 3 largest integer that divides all the numbers equally.
GCD of 150, 996, 939 is 3
GCD(150, 996, 939) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 996, 939 is 3
GCD(150, 996, 939) = 3
GCDof 150,996,939 is 3
Given Input numbers are 150, 996, 939
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Greatest Common Divisior
We found the divisors of 150, 996, 939 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 996, 939 is 3.
Therefore, GCD of numbers 150, 996, 939 is 3
Given Input Data is 150, 996, 939
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 939 is 3 x 313
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 150, 996, 939 using LCM Formula
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(150, 996) = 24900
GCD(150, 996) = ( 150 x 996 ) / 24900
GCD(150, 996) = 149400 / 24900
GCD(150, 996) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 939
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 939) = 1878
GCD(6, 939) = ( 6 x 939 ) / 1878
GCD(6, 939) = 5634 / 1878
GCD(6, 939) = 3
GCD of 150, 996, 939 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 150, 996, 939
1. What is the GCD of 150, 996, 939?
GCD of 150, 996, 939 is 3
2. Where do I get the detailed procedure to find GCD of 150, 996, 939?
You can find a detailed procedure to find GCD of 150, 996, 939 on our page.
3. How to find GCD of 150, 996, 939 on a calculator?
You can find the GCD of 150, 996, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.