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 465, 456, 828, 804 i.e. 3 largest integer that divides all the numbers equally.
GCD of 465, 456, 828, 804 is 3
GCD(465, 456, 828, 804) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 456, 828, 804 is 3
GCD(465, 456, 828, 804) = 3
Given Input numbers are 465, 456, 828, 804
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
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 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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 465, 456, 828, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 456, 828, 804 is 3.
Therefore, GCD of numbers 465, 456, 828, 804 is 3
Given Input Data is 465, 456, 828, 804
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 804 is 2 x 2 x 3 x 67
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(465, 456) = 70680
GCD(465, 456) = ( 465 x 456 ) / 70680
GCD(465, 456) = 212040 / 70680
GCD(465, 456) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
GCD(3, 828) = 2484 / 828
GCD(3, 828) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 804) = 804
GCD(3, 804) = ( 3 x 804 ) / 804
GCD(3, 804) = 2412 / 804
GCD(3, 804) = 3
GCD of 465, 456, 828, 804 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 456, 828, 804?
GCD of 465, 456, 828, 804 is 3
2. Where do I get the detailed procedure to find GCD of 465, 456, 828, 804?
You can find a detailed procedure to find GCD of 465, 456, 828, 804 on our page.
3. How to find GCD of 465, 456, 828, 804 on a calculator?
You can find the GCD of 465, 456, 828, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.