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 456, 428, 760, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 428, 760, 823 is 1
GCD(456, 428, 760, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 428, 760, 823 is 1
GCD(456, 428, 760, 823) = 1
Given Input numbers are 456, 428, 760, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 456, 428, 760, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 428, 760, 823 is 1.
Therefore, GCD of numbers 456, 428, 760, 823 is 1
Given Input Data is 456, 428, 760, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 823 is 823
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(456, 428) = 48792
GCD(456, 428) = ( 456 x 428 ) / 48792
GCD(456, 428) = 195168 / 48792
GCD(456, 428) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 760) = 760
GCD(4, 760) = ( 4 x 760 ) / 760
GCD(4, 760) = 3040 / 760
GCD(4, 760) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 823) = 3292
GCD(4, 823) = ( 4 x 823 ) / 3292
GCD(4, 823) = 3292 / 3292
GCD(4, 823) = 1
GCD of 456, 428, 760, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 428, 760, 823?
GCD of 456, 428, 760, 823 is 1
2. Where do I get the detailed procedure to find GCD of 456, 428, 760, 823?
You can find a detailed procedure to find GCD of 456, 428, 760, 823 on our page.
3. How to find GCD of 456, 428, 760, 823 on a calculator?
You can find the GCD of 456, 428, 760, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.