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 189, 651, 99, 453 i.e. 3 largest integer that divides all the numbers equally.
GCD of 189, 651, 99, 453 is 3
GCD(189, 651, 99, 453) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 651, 99, 453 is 3
GCD(189, 651, 99, 453) = 3
Given Input numbers are 189, 651, 99, 453
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Greatest Common Divisior
We found the divisors of 189, 651, 99, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 651, 99, 453 is 3.
Therefore, GCD of numbers 189, 651, 99, 453 is 3
Given Input Data is 189, 651, 99, 453
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 453 is 3 x 151
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(189, 651) = 5859
GCD(189, 651) = ( 189 x 651 ) / 5859
GCD(189, 651) = 123039 / 5859
GCD(189, 651) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 99) = 693
GCD(21, 99) = ( 21 x 99 ) / 693
GCD(21, 99) = 2079 / 693
GCD(21, 99) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 453) = 453
GCD(3, 453) = ( 3 x 453 ) / 453
GCD(3, 453) = 1359 / 453
GCD(3, 453) = 3
GCD of 189, 651, 99, 453 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 189, 651, 99, 453?
GCD of 189, 651, 99, 453 is 3
2. Where do I get the detailed procedure to find GCD of 189, 651, 99, 453?
You can find a detailed procedure to find GCD of 189, 651, 99, 453 on our page.
3. How to find GCD of 189, 651, 99, 453 on a calculator?
You can find the GCD of 189, 651, 99, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.