GCD of 648, 916, 198 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 648, 916, 198 i.e. 2 largest integer that divides all the numbers equally.
GCD of 648, 916, 198 is 2
GCD(648, 916, 198) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 648, 916, 198 is 2
GCD(648, 916, 198) = 2
GCDof 648,916,198 is 2
Given Input numbers are 648, 916, 198
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Greatest Common Divisior
We found the divisors of 648, 916, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 916, 198 is 2.
Therefore, GCD of numbers 648, 916, 198 is 2
Given Input Data is 648, 916, 198
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 198 is 2 x 3 x 3 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 648, 916, 198 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(648, 916) = 148392
GCD(648, 916) = ( 648 x 916 ) / 148392
GCD(648, 916) = 593568 / 148392
GCD(648, 916) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 198) = 396
GCD(4, 198) = ( 4 x 198 ) / 396
GCD(4, 198) = 792 / 396
GCD(4, 198) = 2
GCD of 648, 916, 198 is 2
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FAQs on GCD of numbers 648, 916, 198
1. What is the GCD of 648, 916, 198?
GCD of 648, 916, 198 is 2
2. Where do I get the detailed procedure to find GCD of 648, 916, 198?
You can find a detailed procedure to find GCD of 648, 916, 198 on our page.
3. How to find GCD of 648, 916, 198 on a calculator?
You can find the GCD of 648, 916, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.