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, 813, 501, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 813, 501, 676 is 1
GCD(456, 813, 501, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 813, 501, 676 is 1
GCD(456, 813, 501, 676) = 1
Given Input numbers are 456, 813, 501, 676
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 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 456, 813, 501, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 813, 501, 676 is 1.
Therefore, GCD of numbers 456, 813, 501, 676 is 1
Given Input Data is 456, 813, 501, 676
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 813 is 3 x 271
Prime Factorization of 501 is 3 x 167
Prime Factorization of 676 is 2 x 2 x 13 x 13
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, 813) = 123576
GCD(456, 813) = ( 456 x 813 ) / 123576
GCD(456, 813) = 370728 / 123576
GCD(456, 813) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 501) = 501
GCD(3, 501) = ( 3 x 501 ) / 501
GCD(3, 501) = 1503 / 501
GCD(3, 501) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 676) = 2028
GCD(3, 676) = ( 3 x 676 ) / 2028
GCD(3, 676) = 2028 / 2028
GCD(3, 676) = 1
GCD of 456, 813, 501, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 813, 501, 676?
GCD of 456, 813, 501, 676 is 1
2. Where do I get the detailed procedure to find GCD of 456, 813, 501, 676?
You can find a detailed procedure to find GCD of 456, 813, 501, 676 on our page.
3. How to find GCD of 456, 813, 501, 676 on a calculator?
You can find the GCD of 456, 813, 501, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.