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 654, 883, 309, 804 i.e. 1 largest integer that divides all the numbers equally.
GCD of 654, 883, 309, 804 is 1
GCD(654, 883, 309, 804) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 654, 883, 309, 804 is 1
GCD(654, 883, 309, 804) = 1
Given Input numbers are 654, 883, 309, 804
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Greatest Common Divisior
We found the divisors of 654, 883, 309, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 883, 309, 804 is 1.
Therefore, GCD of numbers 654, 883, 309, 804 is 1
Given Input Data is 654, 883, 309, 804
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 883 is 883
Prime Factorization of 309 is 3 x 103
Prime Factorization of 804 is 2 x 2 x 3 x 67
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(654, 883) = 577482
GCD(654, 883) = ( 654 x 883 ) / 577482
GCD(654, 883) = 577482 / 577482
GCD(654, 883) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 804) = 804
GCD(1, 804) = ( 1 x 804 ) / 804
GCD(1, 804) = 804 / 804
GCD(1, 804) = 1
GCD of 654, 883, 309, 804 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 654, 883, 309, 804?
GCD of 654, 883, 309, 804 is 1
2. Where do I get the detailed procedure to find GCD of 654, 883, 309, 804?
You can find a detailed procedure to find GCD of 654, 883, 309, 804 on our page.
3. How to find GCD of 654, 883, 309, 804 on a calculator?
You can find the GCD of 654, 883, 309, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.