GCD of 996, 450, 380 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 996, 450, 380 i.e. 2 largest integer that divides all the numbers equally.
GCD of 996, 450, 380 is 2
GCD(996, 450, 380) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 450, 380 is 2
GCD(996, 450, 380) = 2
GCDof 996,450,380 is 2
Given Input numbers are 996, 450, 380
To find the GCD of numbers using factoring list out all the divisors of each number
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 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 996, 450, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 450, 380 is 2.
Therefore, GCD of numbers 996, 450, 380 is 2
Given Input Data is 996, 450, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 380 is 2 x 2 x 5 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 996, 450, 380 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(996, 450) = 74700
GCD(996, 450) = ( 996 x 450 ) / 74700
GCD(996, 450) = 448200 / 74700
GCD(996, 450) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 380) = 1140
GCD(6, 380) = ( 6 x 380 ) / 1140
GCD(6, 380) = 2280 / 1140
GCD(6, 380) = 2
GCD of 996, 450, 380 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 996, 450, 380
1. What is the GCD of 996, 450, 380?
GCD of 996, 450, 380 is 2
2. Where do I get the detailed procedure to find GCD of 996, 450, 380?
You can find a detailed procedure to find GCD of 996, 450, 380 on our page.
3. How to find GCD of 996, 450, 380 on a calculator?
You can find the GCD of 996, 450, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.