GCD of 990, 630, 398 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 990, 630, 398 i.e. 2 largest integer that divides all the numbers equally.
GCD of 990, 630, 398 is 2
GCD(990, 630, 398) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 630, 398 is 2
GCD(990, 630, 398) = 2
GCDof 990,630,398 is 2
Given Input numbers are 990, 630, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 990, 630, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 630, 398 is 2.
Therefore, GCD of numbers 990, 630, 398 is 2
Given Input Data is 990, 630, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 398 is 2 x 199
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 990, 630, 398 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(990, 630) = 6930
GCD(990, 630) = ( 990 x 630 ) / 6930
GCD(990, 630) = 623700 / 6930
GCD(990, 630) = 90
Step2:
Here we consider the GCD from the above i.e. 90 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(90, 398) = 17910
GCD(90, 398) = ( 90 x 398 ) / 17910
GCD(90, 398) = 35820 / 17910
GCD(90, 398) = 2
GCD of 990, 630, 398 is 2
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FAQs on GCD of numbers 990, 630, 398
1. What is the GCD of 990, 630, 398?
GCD of 990, 630, 398 is 2
2. Where do I get the detailed procedure to find GCD of 990, 630, 398?
You can find a detailed procedure to find GCD of 990, 630, 398 on our page.
3. How to find GCD of 990, 630, 398 on a calculator?
You can find the GCD of 990, 630, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.