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 126, 454, 99, 447 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 454, 99, 447 is 1
GCD(126, 454, 99, 447) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 454, 99, 447 is 1
GCD(126, 454, 99, 447) = 1
Given Input numbers are 126, 454, 99, 447
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Greatest Common Divisior
We found the divisors of 126, 454, 99, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 454, 99, 447 is 1.
Therefore, GCD of numbers 126, 454, 99, 447 is 1
Given Input Data is 126, 454, 99, 447
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 454 is 2 x 227
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 447 is 3 x 149
The above numbers do not have any common prime factor. So GCD is 1
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(126, 454) = 28602
GCD(126, 454) = ( 126 x 454 ) / 28602
GCD(126, 454) = 57204 / 28602
GCD(126, 454) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
GCD(2, 99) = 198 / 198
GCD(2, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 447
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 447) = 447
GCD(1, 447) = ( 1 x 447 ) / 447
GCD(1, 447) = 447 / 447
GCD(1, 447) = 1
GCD of 126, 454, 99, 447 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 454, 99, 447?
GCD of 126, 454, 99, 447 is 1
2. Where do I get the detailed procedure to find GCD of 126, 454, 99, 447?
You can find a detailed procedure to find GCD of 126, 454, 99, 447 on our page.
3. How to find GCD of 126, 454, 99, 447 on a calculator?
You can find the GCD of 126, 454, 99, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.