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 428, 459, 566, 207 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 459, 566, 207 is 1
GCD(428, 459, 566, 207) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 459, 566, 207 is 1
GCD(428, 459, 566, 207) = 1
Given Input numbers are 428, 459, 566, 207
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Greatest Common Divisior
We found the divisors of 428, 459, 566, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 459, 566, 207 is 1.
Therefore, GCD of numbers 428, 459, 566, 207 is 1
Given Input Data is 428, 459, 566, 207
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 566 is 2 x 283
Prime Factorization of 207 is 3 x 3 x 23
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(428, 459) = 196452
GCD(428, 459) = ( 428 x 459 ) / 196452
GCD(428, 459) = 196452 / 196452
GCD(428, 459) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 566) = 566
GCD(1, 566) = ( 1 x 566 ) / 566
GCD(1, 566) = 566 / 566
GCD(1, 566) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
GCD(1, 207) = 207 / 207
GCD(1, 207) = 1
GCD of 428, 459, 566, 207 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 459, 566, 207?
GCD of 428, 459, 566, 207 is 1
2. Where do I get the detailed procedure to find GCD of 428, 459, 566, 207?
You can find a detailed procedure to find GCD of 428, 459, 566, 207 on our page.
3. How to find GCD of 428, 459, 566, 207 on a calculator?
You can find the GCD of 428, 459, 566, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.