GCD of 891, 198, 628 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 891, 198, 628 i.e. 1 largest integer that divides all the numbers equally.
GCD of 891, 198, 628 is 1
GCD(891, 198, 628) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 891, 198, 628 is 1
GCD(891, 198, 628) = 1
GCDof 891,198,628 is 1
Given Input numbers are 891, 198, 628
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 891, 198, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 198, 628 is 1.
Therefore, GCD of numbers 891, 198, 628 is 1
Given Input Data is 891, 198, 628
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 628 is 2 x 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 891, 198, 628 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(891, 198) = 1782
GCD(891, 198) = ( 891 x 198 ) / 1782
GCD(891, 198) = 176418 / 1782
GCD(891, 198) = 99
Step2:
Here we consider the GCD from the above i.e. 99 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(99, 628) = 62172
GCD(99, 628) = ( 99 x 628 ) / 62172
GCD(99, 628) = 62172 / 62172
GCD(99, 628) = 1
GCD of 891, 198, 628 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 891, 198, 628
1. What is the GCD of 891, 198, 628?
GCD of 891, 198, 628 is 1
2. Where do I get the detailed procedure to find GCD of 891, 198, 628?
You can find a detailed procedure to find GCD of 891, 198, 628 on our page.
3. How to find GCD of 891, 198, 628 on a calculator?
You can find the GCD of 891, 198, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.