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 454, 225, 86, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 454, 225, 86, 126 is 1
GCD(454, 225, 86, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 454, 225, 86, 126 is 1
GCD(454, 225, 86, 126) = 1
Given Input numbers are 454, 225, 86, 126
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
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
Greatest Common Divisior
We found the divisors of 454, 225, 86, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 225, 86, 126 is 1.
Therefore, GCD of numbers 454, 225, 86, 126 is 1
Given Input Data is 454, 225, 86, 126
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 454 is 2 x 227
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 86 is 2 x 43
Prime Factorization of 126 is 2 x 3 x 3 x 7
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(454, 225) = 102150
GCD(454, 225) = ( 454 x 225 ) / 102150
GCD(454, 225) = 102150 / 102150
GCD(454, 225) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
GCD of 454, 225, 86, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 454, 225, 86, 126?
GCD of 454, 225, 86, 126 is 1
2. Where do I get the detailed procedure to find GCD of 454, 225, 86, 126?
You can find a detailed procedure to find GCD of 454, 225, 86, 126 on our page.
3. How to find GCD of 454, 225, 86, 126 on a calculator?
You can find the GCD of 454, 225, 86, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.