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, 269, 507, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 269, 507, 666 is 1
GCD(428, 269, 507, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 269, 507, 666 is 1
GCD(428, 269, 507, 666) = 1
Given Input numbers are 428, 269, 507, 666
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 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 428, 269, 507, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 269, 507, 666 is 1.
Therefore, GCD of numbers 428, 269, 507, 666 is 1
Given Input Data is 428, 269, 507, 666
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 269 is 269
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 666 is 2 x 3 x 3 x 37
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, 269) = 115132
GCD(428, 269) = ( 428 x 269 ) / 115132
GCD(428, 269) = 115132 / 115132
GCD(428, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 428, 269, 507, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 269, 507, 666?
GCD of 428, 269, 507, 666 is 1
2. Where do I get the detailed procedure to find GCD of 428, 269, 507, 666?
You can find a detailed procedure to find GCD of 428, 269, 507, 666 on our page.
3. How to find GCD of 428, 269, 507, 666 on a calculator?
You can find the GCD of 428, 269, 507, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.