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, 206, 11, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 454, 206, 11, 720 is 1
GCD(454, 206, 11, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 454, 206, 11, 720 is 1
GCD(454, 206, 11, 720) = 1
Given Input numbers are 454, 206, 11, 720
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 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 454, 206, 11, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 206, 11, 720 is 1.
Therefore, GCD of numbers 454, 206, 11, 720 is 1
Given Input Data is 454, 206, 11, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 454 is 2 x 227
Prime Factorization of 206 is 2 x 103
Prime Factorization of 11 is 11
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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, 206) = 46762
GCD(454, 206) = ( 454 x 206 ) / 46762
GCD(454, 206) = 93524 / 46762
GCD(454, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 11) = 22
GCD(2, 11) = ( 2 x 11 ) / 22
GCD(2, 11) = 22 / 22
GCD(2, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 454, 206, 11, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 454, 206, 11, 720?
GCD of 454, 206, 11, 720 is 1
2. Where do I get the detailed procedure to find GCD of 454, 206, 11, 720?
You can find a detailed procedure to find GCD of 454, 206, 11, 720 on our page.
3. How to find GCD of 454, 206, 11, 720 on a calculator?
You can find the GCD of 454, 206, 11, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.